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Kinematics-1D

238 Questions Start Errorless Test
All Exams Allen Objective Errorless
NEET 2024 Q1 Errorless 7. Graphical Questions MCQ
The velocity (v) - time (t) plot of the motion of a body is shown below The acceleration (a) - time (t) graph that best suits this motion is
A.
B.
C.
D.
JEE (Main) 2023 Q2 Errorless 6. Critical Thinking MCQ
The velocity time graph of a body moving in a straight line is shown in figure The ratio of displacement to distance travelled by the body in time 0 to 10 s is
A.
1:1
B.
1:4
C.
1:2
D.
1:3
JEE (Main) 2023 Q3 Errorless 6. Critical Thinking MCQ
A car travels a distance of 'x' with speed $v_{1}$ and then same distance 'x' with speed $v_{2}$ in the same direction. The average speed of the car is
A.
$\frac{v_{1}v_{2}}{2(v_{1}+v_{2})}$
B.
$\frac{v_{1}+v_{2}}{2}$
C.
$\frac{2x}{v_{1}+v_{2}}$
D.
$\frac{2v_{1}v_{2}}{v_{1}+v_{2}}$
JEE (Main) 2023 Q4 Errorless 6. Critical Thinking MCQ
The distance travelled by a particle is related to time t as $x = 4t^{2}$ . The velocity of the particle at t = 5s is
A.
$40ms^{-1}$
B.
$25ms^{-1}$
C.
$20ms^{-1}$
D.
$8ms^{-1}$
JEE (Main) 2023 Q5 Errorless 6. Critical Thinking MCQ
A vehicle travels 4 km with speed of 3 km/h and another 4 km with speed of 5 km/h, then its average speed is
A.
4.25 km/h
B.
3.50 km/h
C.
4.00 km/h
D.
3.75 km/h
JEE (Main) 2023 Q6 Errorless 6. Critical Thinking MCQ
A child stands on the edge of the cliff 10m above the ground and throws a stone horizontally with an initial speed of $5ms^{-1}$ . Neglecting the air resistance, the speed with which the stone hits the ground will be ____ $ms^{-1}$ (given, $g = 10ms^{-2}$ )
A.
20
B.
15
C.
30
D.
25
NEET 2023 Q7 Errorless 6. Critical Thinking MCQ
A vehicle travels half the distance with speed v and the remaining distance with speed 2v. Its average speed is
A.
$\frac{2v}{3}$
B.
$\frac{4v}{3}$
C.
$\frac{3v}{4}$
D.
$\frac{v}{3}$
JEE (Main) 2022 Q8 Errorless 6. Critical Thinking MCQ
An object of mass 5kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10 N throughout the motion. The ratio of time of ascent to the time of descent will be equal to [Use $g = 10 ms^{-2}$ ]
A.
1:1
B.
$\sqrt{2} : \sqrt{3}$
C.
$\sqrt{3} : \sqrt{2}$
D.
2:3
JEE (Main) 2022 Q9 Errorless 6. Critical Thinking MCQ
An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero
A.
Momentum
B.
Potential energy
C.
Acceleration
D.
Force
JEE (Main) 2022 Q10 Errorless 6. Critical Thinking MCQ
Two buses $P$ and $Q$ start from a point at the same time and move in a straight line and their positions are represented by $X_{P}(t) = \alpha t + \beta t^{2}$ and $X_{Q}(t) = ft - t^{2}$ . At what time, both the buses have same velocity
A.
$\frac{\alpha - f}{1 + \beta}$
B.
$\frac{\alpha + f}{2(\beta - 1)}$
C.
$\frac{\alpha + f}{2(1 + \beta)}$
D.
$\frac{f - \alpha}{2(1 + \beta)}$
JEE (Main) 2022 Q11 Errorless 6. Critical Thinking MCQ
At time t=0 a particle starts travelling from a height $7\hat{z}$ cm in a plane keeping z coordinate constant. At any instant of time it's position along the $\hat{x}$ and $\hat{y}$ directions are defined as 3t and $5t^{3}$ respectively. At t=1s acceleration of the particle will be
A.
$-30\hat{y}$
B.
$30\hat{y}$
C.
$3\hat{x} + 15\hat{y}$
D.
$3\hat{x} + 15\hat{y} + 7\hat{z}$
JEE (Main) 2022 Q12 Errorless 6. Critical Thinking MCQ
A NCC parade is going at a uniform speed of 9 km/h under a mango tree on which a monkey is sitting at a height of 19.6 m. At any particular instant, the monkey drops a mango. A cadet will receive the mango whose distance from the tree at time of drop is (Given $g = 9.8 \, m/s^{2}$ )
A.
5 m
B.
10 m
C.
19.8 m
D.
24.5 m
JEE (Main) 2022 Q13 Errorless 6. Critical Thinking MCQ
A ball is released from a height h. If $t_{1}$ and $t_{2}$ be the time required to complete first half and second half of the distance respectively. Then, choose the correct relation between $t_{1}$ and $t_{2}$
A.
$t_{1} = (\sqrt{2})t_{2}$
B.
$t_{1} = (\sqrt{2} - 1)t_{2}$
C.
$t_{2} = (\sqrt{2} + 1)t_{1}$
D.
$t_{2} = (\sqrt{2} - 1)t_{1}$
NEET 2022 Q14 Errorless 6. Critical Thinking MCQ
The ratio of the distances travelled by a freely falling body in the $1^{\mathrm{st}}$ , $2^{\mathrm{nd}}$ , $3^{\mathrm{rd}}$ , and $4^{\mathrm{th}}$ second
A.
$1:3:5:7$
B.
$1:1:1:1$
C.
$1:2:3:4$
D.
$1:4:9:16$
NEET 2022 Q15 Errorless 7. Graphical Questions MCQ
The displacement-time graphs of two moving particles make angles of $30^{\circ}$ and $45^{\circ}$ with the x-axis as shown in the figure. The ratio of their respective velocity is
A.
$1:2$
B.
$1:\sqrt{3}$
C.
$\sqrt{3}:1$
D.
$1:1$
JEE (Main) 2021 Q16 Errorless 6. Critical Thinking MCQ
A stone is dropped from the top of a building. When it crosses a point 5 m below the top, another stone starts to fall from a point 25 m below the top. Both stones reach the bottom of building simultaneously. The height of the building is
A.
35 m
B.
45 m
C.
50 m
D.
25 m
JEE (Main) 2021 Q17 Errorless 6. Critical Thinking MCQ
A scooter accelerates from rest for time $t_1$ at constant rate $a_1$ and then retards at constant rate $a_2$ for time $t_2$ and comes to rest. The correct value of $\frac{t_1}{t_2}$ will be
A.
$\frac{a_1 + a_2}{a_2}$
B.
$\frac{a_2}{a_1}$
C.
$\frac{a_1}{a_2}$
D.
$\frac{a_1 + a_2}{a_1}$
JEE (Main) 2021 Q18 Errorless 6. Critical Thinking MCQ
A car accelerates from rest at a constant rate $\alpha$ for some time after which it decelerates at a constant rate $\beta$ to come to rest. If the total time elapsed is $t$ seconds, the total distance travelled is
A.
$\frac{4\alpha\beta}{(\alpha+\beta)} t^2$
B.
$\frac{2\alpha\beta}{(\alpha+\beta)} t^2$
C.
$\frac{\alpha\beta}{2(\alpha+\beta)} t^2$
D.
$\frac{\alpha\beta}{4(\alpha+\beta)} t^2$
JEE (Main) 2021 Q19 Errorless 6. Critical Thinking MCQ
A rubber ball is released from a height of 5m above the floor. It bounces back repeatedly, always rising to $\frac{81}{100}$ of the height through which it falls. Find the average speed of the ball (Take $g = 10 ms^{-2}$ )
A.
$3.0 ms^{-1}$
B.
$3.50 ms^{-1}$
C.
$2.0 ms^{-1}$
D.
$2.50 ms^{-1}$
JEE (Main) 2021 Q20 Errorless 6. Critical Thinking MCQ
The instantaneous velocity of a particle moving in a straight line is given as $v = \alpha t + \beta t^2$ , where $\alpha$ and $\beta$ are constants. The distance travelled by the particle between 1s and 2s is
A.
$3\alpha + 7\beta$
B.
$\frac{3}{2}\alpha + \frac{7}{3}\beta$
C.
$\frac{\alpha}{2} + \frac{\beta}{3}$
D.
$\frac{3}{2}\alpha + \frac{7}{2}\beta$
JEE (Main) 2021 Q21 Errorless 6. Critical Thinking MCQ
A balloon was moving upwards with a uniform velocity of 10 m/s. An object of finite mass is dropped from the balloon when it was at a height of 75 m from the ground level. The height of the balloon from the ground when object strikes the ground was around (takes the value of g as $10m/s^{2}$ )
A.
300 m
B.
200 m
C.
125 m
D.
250 m
JEE (Main) 2021 Q22 Errorless 6. Critical Thinking MCQ
Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at $4^{th}$ second after its fall to the next droplet is 34.3 m. At what rate the droplets are coming from the tap (Take $g = 9.8 \, m/s^{2}$ )
A.
3 drops / 2 seconds
B.
2 drops / second
C.
1 drop / second
D.
1 drop / 7 seconds
JEE (Main) 2021 Q23 Errorless 6. Critical Thinking MCQ
A bomb is dropped by a fighter plane flying horizontally. To an observer sitting in the plane, the trajectory of the bomb is a
A.
Hyperbola
B.
Straight line vertically down the plane
C.
Parabola in a direction opposite to the motion of plane
D.
Parabola in the direction of motion of plane
JEE (Main) 2021 Q24 Errorless 6. Critical Thinking MCQ
Water drops are falling from a nozzle of a shower onto the floor from a height of 9.8 m. The drops fall at a regular interval of time. When the first drop strikes the floor, at that instant, the third drop begins to fall. Locate the position of second drop from the floor when the first drop strikes the floor
A.
2.94 m
B.
4.18 m
C.
2.45 m
D.
7.35 m
JEE (Main) 2021 Q25 Errorless 6. Critical Thinking MCQ
A huge circular arc of length 4.4 ly subtends an angle 4s at the centre of circle. How long it would take for a body to complete 4 revolution if its speed is 8 AU per second (Given: $1ly = 9.46 \times 10^{15} m$ , $1AU = 1.5 \times 10^{11} m$ )
A.
$4.1 \times 10^{8} s$
B.
$4.5 \times 10^{10} s$
C.
$7.2 \times 10^{8} s$
D.
$3.5 \times 10^{6} s$