JEE Main Motion in a Straight Line Practice Questions With Solutions

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JEE Main Physics Motion in a Straight Line Practice Questions

Question 1.

Two cars are travelling towards each other at speed of $20 m s^{- 1}$ each. When the cars are $300 m$ apart, both the drivers apply brakes and the cars retard at the rate of $2 m s^{- 2}$ . The distance between them when they come to rest is :

25 m

100 m

50 m

200 m

Question 2.

A particle moving in a straight line covers half the distance with speed $6 m / s$ . The other half is covered in two equal time intervals with speeds $9 m / s$ and $15 m / s$ respectively. The average speed of the particle during the motion is :

9.2 m/s

8.8 m/s

10 m/s

8 m/s

Question 3.

A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in $t_{1}$ . If it is projected vertically downwards from the same point with the same speed, it reaches the ground in $t_{2}$ . Time required to reach the ground, if it is dropped from the top of the tower, is :

\sqrt{t_{1} + t_{2}}

\sqrt{t_{1} t_{2}}

\sqrt{\frac{t_{1}}{t_{2}}}

\sqrt{t_{1} - t_{2}}

Question 4.

A train starting from rest first accelerates uniformly up to a speed of $80 km / h$ for time $t$ , then it moves with a constant speed for time $3 t$ . The average speed of the train for this duration of journey will be (in $km / h$ ) :

Question 5.

A body travels $102.5 m$ in $n^{th}$ second and $115.0 m$ in $(n + 2)^{th}$ second. The acceleration is :

6.25 m / s^{2}

5 m / s^{2}

12.5 m / s^{2}

9 m / s^{2}

Question 6.

Train A is moving along two parallel rail tracks towards north with speed $72 km / h$ and train B is moving towards south with speed $108 km / h$ . Velocity of train B with respect to A and velocity of ground with respect to B are (in ${ms}^{- 1}$ ):

-50 and -30

-50 and 30

-30 and 50

50 and -30

Question 7.

The relation between time ' $t$ ' and distance ' $x$ ' is $t = α x^{2} + β x$ , where $α$ and $β$ are constants. The relation between acceleration $(a)$ and velocity $(v)$ is :

a = - 5 α v^{5}

a = - 3 α v^{2}

a = - 2 α v^{3}

a = - 4 α v^{4}

Question 8.

A particle is moving in a straight line. The variation of position ' $x$ ' as a function of time ' $t$ ' is given as $x = (t^{3} - 6 t^{2} + 20 t + 15) m$ . The velocity of the body when its acceleration becomes zero is :

6 m/s

10 m/s

8 m/s

4 m/s

Question 9.

A body starts moving from rest with constant acceleration covers displacement $S_{1}$ in first $(p - 1)$ seconds and $S_{2}$ in first $p$ seconds. The displacement $S_{1} + S_{2}$ will be made in time :

(2 p + 1) s

(2 p - 1) s

(2 p^{2} - 2 p + 1) s

\sqrt{(2 p^{2} - 2 p + 1)} s

Question 10.

The position of a particle related to time is given by

x = (5 t^{2} - 4 t + 5) m

. The magnitude of velocity of the particle at

t = 2 s

will be :

14 {ms}^{- 1}

16 {ms}^{- 1}

10 {ms}^{- 1}

06 {ms}^{- 1}

Question 1.

The distance travelled by an object in time $t$ is given by $s = (2.5) t^{2}$ . The instantaneous speed of the object at $t = 5 s$ will be:

5 {ms}^{- 1}

12.5 {ms}^{- 1}

62.5 {ms}^{- 1}

25 {ms}^{- 1}

Question 2.

A passenger sitting in a train A moving at $90 km / h$ observes another train $B$ moving in the opposite direction for $8 s$ . If the velocity of the train B is $54 km / h$ , then length of train B is:

80 m

200 m

120 m

320 m

Question 3.

Two trains 'A' and 'B' of length ' $l$ ' and ' $4 l$ ' are travelling into a tunnel of length ' $L$ ' in parallel tracks from opposite directions with velocities $108 km / h$ and $72 km / h$ , respectively. If train 'A' takes $35 s$ less time than train 'B' to cross the tunnel then. length ' $L$ ' of tunnel is :

(Given $L = 60 l$ )

900 m

1200 m

1800 m

2700 m

Question 4.

A ball is thrown vertically upward with an initial velocity of $150 m / s$ . The ratio of velocity after $3 s$ and $5 s$ is $\frac{x + 1}{x}$ . The value of $x$ is ___________.

${$ take, $g = 10 m / s^{2}}$

- 5

Question 5.

From the $v - t$ graph shown, the ratio of distance to displacement in $25 s$ of motion is:

JEE Main 2023 (Online) 11th April Morning Shift Physics - Motion in a Straight Line Question 21 English

\frac{3}{5}

\frac{1}{2}

\frac{5}{3}

Question 6.

A person travels $x$ distance with velocity $v_{1}$ and then $x$ distance with velocity $v_{2}$ in the same direction. The average velocity of the person is $v$ , then the relation between $v, v_{1}$ and $v_{2}$ will be.

V = V_{1} + V_{2}

V = \frac{v_{1} + V_{2}}{2}

\frac{1}{v} = \frac{1}{v_{1}} + \frac{1}{v_{2}}

\frac{2}{V} = \frac{1}{v_{1}} + \frac{1}{v_{2}}

Question 7.

The position-time graphs for two students A and B returning from the school to their homes are shown in figure.

JEE Main 2023 (Online) 10th April Morning Shift Physics - Motion in a Straight Line Question 19 English

(A) A lives closer to the school

(B) B lives closer to the school

(D) A travels faster than B

(E) B travels faster than A

Choose the correct answer from the options given below :

(A), (C) and (D) only

(A) and (E) only

(A), (C) and (E) only

(B) and (E) only

Question 8.

Given below are two statements

Statement I : Area under velocity- time graph gives the distance travelled by the body in a given time.

Statement II : Area under acceleration- time graph is equal to the change in velocity- in the given time.

In the light of given statements, choose the correct answer from the options given below.

Both Statement I and Statement II are False.

Both Statement I and Statement II are true.

Statement I is incorrect but Statement II is true.

Statement I is correct but Statement II is false.

Question 9.

A particle starts with an initial velocity of $10.0 {ms}^{- 1}$ along $x$ -direction and accelerates uniformly at the rate of $2.0 {ms}^{- 2}$ . The time taken by the particle to reach the velocity of $60.0 {ms}^{- 1}$ is __________.

30s

25s

Question 10.

An object moves with speed $v_{1}, v_{2}$ and $v_{3}$ along a line segment AB, BC and CD respectively as shown in figure. Where AB = BC and AD = 3AB, then average speed of the object will be:

JEE Main 2023 (Online) 1st February Morning Shift Physics - Motion in a Straight Line Question 34 English

\frac{v_{1} v_{2} v_{3}}{3 (v_{1} v_{2} + v_{2} v_{3} + v_{3} v_{1})}

\frac{(v_{1} + v_{2} + v_{3})}{3}

\frac{(v_{1} + v_{2} + v_{3})}{3 v_{1} v_{2} v_{3}}

\frac{3 v_{1} v_{2} v_{3}}{(v_{1} v_{2} + v_{2} v_{3} + v_{3} v_{1})}

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JEE Main Motion in a Straight Line Practice Questions With Solutions

JEE Main Physics Motion in a Straight Line Practice Questions

Question 1.

Question 2.

Question 3.

Question 4.

Question 5.

Question 6.

Question 7.

Question 8.

Question 9.

Question 10.

Question 1.

Question 2.

Question 3.

Question 4.

Question 5.

Question 6.

Question 7.

Question 8.

Question 9.

Question 10.

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