Q351
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 7
A car accelerates from rest with $2 \, ms^{-2}$ on a straight track and then it comes to rest applying its brakes. The total distance travelled by the car is 100 m in 20 s. Based on the above facts, answer the following questions.
The distance covered during retardation is
A.
85 m
B.
75 m
C.
50 m
D.
25 m
Q352
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 8
A body falling from a height H hits an inclined plane in its path at a height $h( < H)$ . As a result of this impact, the direction of the velocity of the body becomes horizontal. Based on the above facts, answer the following questions.
The value of $\frac{h}{H}$ for which the body will take the maximum time to reach the ground is
A.
$\frac{1}{\sqrt{2}}$
B.
$\sqrt{2}$
C.
$\frac{1}{2}$
D.
2
Q353
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 8
A body falling from a height H hits an inclined plane in its path at a height $h( < H)$ . As a result of this impact, the direction of the velocity of the body becomes horizontal. Based on the above facts, answer the following questions.
The time taken by the body to hit the ground is
A.
$T = 2\sqrt{\frac{H}{g}}$
B.
$T = 4\sqrt{\frac{H}{g}}$
C.
$T = \sqrt{\frac{2H}{g}}$
D.
$T = \sqrt{\frac{3H}{g}}$
Q354
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 9
A body is projected from the ground vertically upwards. The body is observed to be at height h above the ground at two times $t_{1}$ and $t_{2}$ while ascending and descending respectively. Based on the above facts, answer the following questions.
The height $h$ in terms of $t_1$ and $t_2$ is
A.
$h = gt_1t_2$
B.
$h = 2gt_1t_2$
C.
$h = \frac{1}{2} gt_1t_2$
D.
$h = \frac{1}{4} gt_1t_2$
Q355
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 9
A body is projected from the ground vertically upwards. The body is observed to be at height h above the ground at two times $t_{1}$ and $t_{2}$ while ascending and descending respectively. Based on the above facts, answer the following questions.
The velocity of projection $(u)$ must be
A.
$u = \frac{1}{2} g(t_1 + t_2)$
B.
$u = \frac{1}{4} g(t_1 + t_2)$
C.
$u = 2g(t_1 + t_2)$
D.
$u = 4g(t_1 + t_2)$
Q356
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 9
A body is projected from the ground vertically upwards. The body is observed to be at height h above the ground at two times $t_{1}$ and $t_{2}$ while ascending and descending respectively. Based on the above facts, answer the following questions.
The maximum height (H) reached by the body is
A.
$H = \frac{1}{2} g t_{1}^{2}$
B.
$H = \frac{1}{2} g t_{2}^{2}$
C.
$H = \frac{1}{8} g(t_{1} + t_{2})^{2}$
D.
$H = \frac{1}{4} g(t_{1} + t_{2})^{2}$
Q357
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 9
A body is projected from the ground vertically upwards. The body is observed to be at height h above the ground at two times $t_{1}$ and $t_{2}$ while ascending and descending respectively. Based on the above facts, answer the following questions.
The velocity $(v)$ of the body at height $\frac{h}{2}$ is
A.
$v = \frac{1}{4} gt_{1}$
B.
$v = \frac{1}{4} gt_{2}$
C.
$v = \frac{1}{2} g\sqrt{t_1^2 + t_2^2}$
D.
$v = \frac{1}{4} g\sqrt{t_1t_2}$
Q358
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 9
A body is projected from the ground vertically upwards. The body is observed to be at height h above the ground at two times $t_{1}$ and $t_{2}$ while ascending and descending respectively. Based on the above facts, answer the following questions.
The velocity of the particle at half the maximum height.
A.
$\frac{g}{2}\sqrt{t_{1}^{2}+t_{2}^{2}}$
B.
$\frac{g}{4}(t_{1}^{2}+t_{2}^{2})$
C.
$\frac{g}{2\sqrt{2}}(t_{1}+t_{2})$
D.
$\frac{g}{\sqrt{2}}(t_{1}+t_{2})$
Q359
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 10
If the velocity v of a particle moving along a straight line decreases linearly with its displacement s from $20 \, ms^{-1}$ to a value approaching zero at s = 30 m. Based on the above facts, answer the following questions.
Acceleration of the particle at $s = 15 \mathrm{~m}$ is
Acceleration of the particle at $s = 15 \mathrm{~m}$ is
A.
$\frac{2}{3} \mathrm{~ms}^{-2}$
B.
$-\frac{2}{3} \mathrm{~ms}^{-2}$
C.
$\frac{20}{3} \mathrm{~ms}^{-2}$
D.
$-\frac{20}{3} \mathrm{~ms}^{-2}$
Q360
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 10
If the velocity v of a particle moving along a straight line decreases linearly with its displacement s from $20 \, ms^{-1}$ to a value approaching zero at s = 30 m. Based on the above facts, answer the following questions.
The time taken by the particle to reach the 30 m position is
The time taken by the particle to reach the 30 m position is
A.
1.5 s
B.
3 s
C.
6 s
D.
Infinite
Q361
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 11
Buses are going from one city to other and vice-versa. The buses start at regular interval of 5 minutes each from station A to B and station B to A each with same speed $60 \, kmh^{-1}$ . The distance between two stations is 30 km. A bus marked A starts from city A and finds buses approaching from opposite direction.
Based on the above facts, answer the following questions.
The time interval after which bus A will meet two buses coming from opposite side is
A.
5 min
B.
2.5 min
C.
1.25 min
D.
10 min
Q362
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 11
Buses are going from one city to other and vice-versa. The buses start at regular interval of 5 minutes each from station A to B and station B to A each with same speed $60 \, kmh^{-1}$ . The distance between two stations is 30 km. A bus marked A starts from city A and finds buses approaching from opposite direction.
Based on the above facts, answer the following questions.
The distance travelled by bus A to meet two buses from opposite side is
A.
2.5 km
B.
5 km
C.
10 km
D.
None of these
Q363
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 11
Buses are going from one city to other and vice-versa. The buses start at regular interval of 5 minutes each from station A to B and station B to A each with same speed $60 \, kmh^{-1}$ . The distance between two stations is 30 km. A bus marked A starts from city A and finds buses approaching from opposite direction.
Based on the above facts, answer the following questions.
How many buses the bus A will meet on way from city A to city B?
A.
6
B.
5
C.
12
D.
11
Q364
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 12
A particle moves in positive x-direction according to law $x = 12t - t^{2}$ m. where t time in second. (Take +ve x-direction as +ve).
Based on the above facts, answer the following questions.
Average velocity from $t = 0$ to $t = 8 \, \mathrm{s}$ is
A.
$4 \, \mathrm{ms}^{-1}$
B.
$6 \, \mathrm{ms}^{-1}$
C.
$8 \, \mathrm{ms}^{-1}$
D.
$-4 \, \mathrm{ms}^{-1}$
Q365
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 12
A particle moves in positive x-direction according to law $x = 12t - t^{2}$ m. where t time in second. (Take +ve x-direction as +ve).
Based on the above facts, answer the following questions.
Average speed from t=0 to t=8 s is
A.
$4 \, ms^{-1}$
B.
$5 \, ms^{-1}$
C.
$6 \, ms^{-1}$
D.
$8 \, ms^{-1}$
Q366
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 12
A particle moves in positive x-direction according to law $x = 12t - t^{2}$ m. where t time in second. (Take +ve x-direction as +ve).
Based on the above facts, answer the following questions.
Average acceleration from $t = 0$ s to $t = 8$ s is
A.
$-\frac{1}{4} \, \mathrm{ms}^{-2}$
B.
$+\frac{1}{4} \, \mathrm{ms}^{-2}$
C.
$-\frac{1}{2} \, \mathrm{ms}^{-2}$
D.
$-2 \, \mathrm{ms}^{-2}$
Q367
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 13
A particle starts from rest from the origin with a time varying acceleration $a = (2t - 4)$ , where t is in seconds and a in $ms^{-2}$ . Assuming the particle to move rectilinearly.
Based on the above facts, answer the following questions.
Particle comes to rest (after a time) at
A.
1 s
B.
4 s
C.
3 s
D.
2 s
Q368
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 13
A particle starts from rest from the origin with a time varying acceleration $a = (2t - 4)$ , where t is in seconds and a in $ms^{-2}$ . Assuming the particle to move rectilinearly.
Based on the above facts, answer the following questions.
The speed of the particle moving in negative direction is maximum at time t. Then t equals
A.
3 s
B.
4 s
C.
2 s
D.
1 s
Q369
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 13
A particle starts from rest from the origin with a time varying acceleration $a = (2t - 4)$ , where t is in seconds and a in $ms^{-2}$ . Assuming the particle to move rectilinearly.
Based on the above facts, answer the following questions.
The distance travelled by the particle from the start to the moment when it comes to rest is
A.
$\frac{16}{3}$ m
B.
2 m
C.
3 m
D.
None of these
Q370
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 14
A person standing on the roof of a building throws a ball vertically upward at an instant t=0. The ball leaves his hand with an upward speed $20 \, ms^{-1}$ and it is then in free fall. The ball rises to a certain height and then moves down. On its way down, the ball just misses to hit the roof of the building and keeps falling towards the earth. The ball hits earth at t = 5 s. Considering that
(i) the vertically upward direction is the positive $y$ -direction
(ii) the position of ball at t = 0 is the origin
(iii) the ball does not rebound and comes to rest at the same place where it hits earth and
(iv) air resistance is negligible, answer these questions. $\left(\text{Take } g = 10 \text{ ms}^{-2}\right)$
Based on the above facts, answer the following questions.
Position-time graph for the given motion of the ball is
(i) the vertically upward direction is the positive $y$ -direction
(ii) the position of ball at t = 0 is the origin
(iii) the ball does not rebound and comes to rest at the same place where it hits earth and
(iv) air resistance is negligible, answer these questions. $\left(\text{Take } g = 10 \text{ ms}^{-2}\right)$
Based on the above facts, answer the following questions.
A.
B.
C.
D.
Q371
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 14
A person standing on the roof of a building throws a ball vertically upward at an instant t=0. The ball leaves his hand with an upward speed $20 \, ms^{-1}$ and it is then in free fall. The ball rises to a certain height and then moves down. On its way down, the ball just misses to hit the roof of the building and keeps falling towards the earth. The ball hits earth at t = 5 s. Considering that
(i) the vertically upward direction is the positive $y$ -direction
(ii) the position of ball at t = 0 is the origin
(iii) the ball does not rebound and comes to rest at the same place where it hits earth and
(iv) air resistance is negligible, answer these questions. $\left(\text{Take } g = 10 \text{ ms}^{-2}\right)$
Based on the above facts, answer the following questions.
Velocity of the ball will vary with time as
(i) the vertically upward direction is the positive $y$ -direction
(ii) the position of ball at t = 0 is the origin
(iii) the ball does not rebound and comes to rest at the same place where it hits earth and
(iv) air resistance is negligible, answer these questions. $\left(\text{Take } g = 10 \text{ ms}^{-2}\right)$
Based on the above facts, answer the following questions.
A.
B.
C.
D.
Q372
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 14
A person standing on the roof of a building throws a ball vertically upward at an instant t=0. The ball leaves his hand with an upward speed $20 \, ms^{-1}$ and it is then in free fall. The ball rises to a certain height and then moves down. On its way down, the ball just misses to hit the roof of the building and keeps falling towards the earth. The ball hits earth at t = 5 s. Considering that
(i) the vertically upward direction is the positive $y$ -direction
(ii) the position of ball at t = 0 is the origin
(iii) the ball does not rebound and comes to rest at the same place where it hits earth and
(iv) air resistance is negligible, answer these questions. $\left(\text{Take } g = 10 \text{ ms}^{-2}\right)$
Based on the above facts, answer the following questions.
Acceleration of the ball will vary with time as
(i) the vertically upward direction is the positive $y$ -direction
(ii) the position of ball at t = 0 is the origin
(iii) the ball does not rebound and comes to rest at the same place where it hits earth and
(iv) air resistance is negligible, answer these questions. $\left(\text{Take } g = 10 \text{ ms}^{-2}\right)$
Based on the above facts, answer the following questions.
A.
B.
C.
D.
Q373
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 15
The position of a particle is moving along the x-axis depends on the time according to the equation $x = 6t^{2} - t^{3}$ , where x is in metre and t in seconds.
Based on the above facts, answer the following questions.
Time at which velocity of the particle is maximum along positive direction of $x$ -axis is
A.
1 s
B.
2 s
C.
3 s
D.
4 s
Q374
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 15
The position of a particle is moving along the x-axis depends on the time according to the equation $x = 6t^{2} - t^{3}$ , where x is in metre and t in seconds.
Based on the above facts, answer the following questions.
Distance travelled by the particle during time interval $t = 3 \mathrm{~s}$ to $t = 5 \mathrm{~s}$ is
A.
$2 \mathrm{~m}$
B.
$5 \mathrm{~m}$
C.
$12 \mathrm{~m}$
D.
$10 \mathrm{~m}$
Q375
Advance
LINKED COMPREHENSION TYPE QUESTIONS
MCQ
Comprehension Passage: Comprehension - 15
The position of a particle is moving along the x-axis depends on the time according to the equation $x = 6t^{2} - t^{3}$ , where x is in metre and t in seconds.
Based on the above facts, answer the following questions.
Average speed of the particle during time interval $t = 0$ s to $t = 6$ s is
A.
$2 \, \text{ms}^{-1}$
B.
Zero
C.
$4 \, \text{ms}^{-1}$
D.
None of these