Numerical Problems Based on Class 11 Physics Chapter 3 Motion In A Straight Line

A body starting from rest has an acceleration of 20 m/s². Calculate the distance travelled by it in 10th second.

A car travelled the first third of a distance x at a speed of 10 km/h, the second third with a speed of 20 km/h and the last third at speed of 60km/h. Determine the average speed of the car over the entire distance x.

A stone is dropped from the top of a cliff and is found to travel 44.1 m in the last second before it reaches the ground. Find the height of the cliff.

A table clock has its minute hand 9 cm long. Find the average velocity of the tip of the minute hand (a) between 3 am to 3.30 am and (b) between 3 am to 3 pm.

Two passenger trains, each 100 m long, are running on parallel tracks. One overtakes the other in 20s and one across the other in 10s. Calculate the velocities of two trains.

A car travels along a straight line with speed 40 km/h from A to B and returns back to A with speed 60 km/h. Find the average speed of the car and its average velocity.

A body moves on three quarters of circle of radius r. Find the values of the displacement and the distance travelled by the body.

The displacement x (in m) of a body varies with time t (in s) as

How long does the body take to come to rest?

A body covers 12m in 2nd second and 20 m is 4th second. Find what distance the body will cover in 4 second after the 5th second.

Two cars start off to race with velocities 2m/s and 4m/s travel in straight line with uniform acceleration 2m/s² and 1m/s² respectively. What’s the length of the path if they reach the final point at the same time?

A body falling from rest was observed to fall through 78.4 m in 2s. Find how much time had it been falling before it was observed?

Figure given below shows the variation of velocity of a particle with time

Find the following :
(i) Displacement during the time intervals
(a) 0 to 2 sec, (b) 2 to 4 sec. and (c) 4 to 7 sec.
(ii) Accelerations at –
(a) t = 1 sec, (b) t = 3 sec. and (c) t = 6 sec.
(iii) Average acceleration –
(a) between t = 0 to t = 4 sec.
(b) between t = 0 to t = 7 sec.
(iv) Average velocity during the motion.

The velocity-time graph of a body moving in a straight line is as shown in the following figure. Find the displacement and the distance travelled by the body in 6 seconds.

The height y and the distance x along the horizontal, for a body projected in the vertical plane are given by; y = 8t – 5t² and x = 6t. What is the initial velocity of the body?

A particle moves along a straight line such that its displacement ‘s’ at any time ‘t’ is given by s = (t³ – 6t² + 3t + 4) m. Find the velocity when acceleration is zero.

On a straight road, A is moving towards north with a velocity 2 m/s and B is moving towards south with a velocity 5 m/s. What is the relative velocity of (i) A w.r.t. B, and (ii) B w.r.t. A?

The velocity-time graph of a particle moving along a straight line is as shown in the following graph. Calculate the distance covered between t = 0 to 10 s. Also find displacement in that time.

The displacement of a particle along x-axis is given by x = 4 + 8t + 14t². Obtain its velocity and acceleration at t = 2s.

New Delhi is at a distance of 400 km from Jallandhar. A sets out from Jallandhar at a speed of 30 km h^–1 and B sets out at the same time from New Delhi at a speed of 20 km h^–1. When will they meet each other?

Figure shows the acceleration-time graph for a particle moving along a straight line. Find the following : (Assume the particle starts from rest.)

(i) Velocity at the end of (a) 3 sec. (b) 6sec.
(ii) Displacement at the end of (a) 4 sec. (b) 10 sec.
(iii) Does the direction of motion change during the motion?

Two cars A and B are running at velocities of 60 km/hr and 45 km/hr respectively. Calculate the relative velocity of car A with respect to B, if
(i) they both are travelling eastwards and
(ii) car A is travelling eastwards while car B is travelling westwards.

The velocity-time graph of a particle moving along a straight line is given by graph shown

The rate of acceleration and deceleration is same and it is equal to 4 m/s². If the average velocity during the motion is 15 m/s and total time of motion is 20 seconds then find (a) the value of t (b) the maximum velocity of the particle during the journey. (c) the distance travelled with uniform velocity.