# The Equations of Motion

## Trending Questions

**Q.**

A racing car has a uniform acceleration of $4{\mathrm{ms}}^{-2}$. What distance will it cover in $10\mathrm{s}$ after start?

**Q.**

A car accelerates uniformly from $18km/hr$ to $36km/hr$ in $5s$. Calculate the acceleration and the distance covered by the car in that time.

**Q.**

Write the formula for distance traveled in n^{th} second.

**Q.**Question 3

A trolley, while going down an inclined plane, has an acceleration of 2 cms−2. What will be its velocity 3 seconds after the start?

**Q.**

A ball hits a wall horizontally at 6 m/s. It rebounds horizontally at 4.4m/s. The ball is in contact with the wall for 0.04 s. What is the acceleration of the ball?

**Q.**

The brakes applied by a car produces an acceleration of 6 m/s2 in opposite direction of motion. If the car takes 2 sec to stop after the application of brakes. Calculate distance during this time.

**Q.**

A motorcycle moving with a speed of 5m/s is subjected to an acceleration of 0.2 m/s2. Calculate the speed of the motorcycle after 10 seconds, and the distance travelled in this time.

**Q.**

A train starts from rest and accelerates uniformly at a rate of 2 m s−2 for 10 s.It then maintains a constant speed for 200 s.The brakes are then applied and the train is uniformly retarded and comes to rest in 50 s.Find:(i) the maximum velocity reached, (ii) the retardation in the last 50 s, (iii) the total distance travelled, and (iv) the average velocity of the train.

**Q.**

A train starting from a stationary position and moving with uniform acceleration attain a speed of 36km/h in 10 minutes.Find its acceleration.

**Q.**

A bus moving along a straight line at 20 m/s undergoes an acceleration of 4m/s2. After 2 seconds, its speed will be :

(a) 8 m/s

(b) 12 m/s

(c) 16 m/s

(d) 28 m/s

**Q.**

On a foggy day, two car drivers spot each other, when they are just 80 m apart. They are traveling at 72 km/h and 60 km/h respectively towards each other. Both of them simultaneously apply brakes, which retard both the cars at a rate of 5 m/s^{2}. Determine whether they avert the collision or not.

**Q.**

A body starts to slide over a horizontal surface with an initial velocity of 0.5 m/s. Due to friction, its velocity deceased at the rate of 0.5 m/s2 . How much time will it take for the body to stop?

**Q.**

A bus running at a speed of 18 km/h is stopped in 2.5 seconds by applying brakes. Calculate the retardation produced.

**Q.**

A train starting from rest moves with a uniform acceleration of 0.2 m/s2 for 5 minutes. Calculate the speed acquired and the distance travelled in this time.

**Q.**

A car travels with a uniform velocity of 25 m s−1 for 5 s. The brakes are then applied and the car is uniformly retarded and comes to rest in further 10 s.Find:(i) the distance which the car travels before the brakes are applied, (ii) the retardation, and (iii) the distance travelled by the car after applying the brakes.

**Q.**

A train is moving with a velocity of 90 km h−1.It is brought to stop by applying the brakes which produce a retardation of 0.5 m s−2.Find:(i) the velocity after 10 s, and (ii) the time taken by the train to come to rest.

**Q.**

A body, initially at rest, starts moving with a constant acceleration 2 m s−2. Calculate:(i) the velocity acquired and (ii) the distance travelled in 5 s.

**Q.**A car is moving in a straight line with speed 18 km/hr. It is stopped in 5s by applying the brakes. Find (i) the retardation and (ii) speed of the car after 2s of applying the brakes.

**Q.**

A bullet initially moving with a velocity 20 m s−1 strikes a target and comes to rest after penetrating a distance of 10 cm in the target. Calculate the retardation caused by the target.

**Q.**

A car travels a distance of 100 m with a constant acceleration and average velocity of 20 m/s the final velocity acquired by the car race is 25 m/s find the initial velocity and acceleration.

**Q.**A constant force acts on an object of mass 5kg for duration of 2s. It increases the object velocity from 3m/s to 7m/s. Find the magnitude of applied force. Now if the force was applied for the duration of 5s what would be the final velocity of the object

**Q.**

When brakes are applied to a bus, the retardation produced is 25 cm s−2 and the bus takes 20 s to stop.Calculate:(i) the initial velocity of bus, and (ii) the distance travelled by bus during this time.

**Q.**

A body starts from rest and moves with a constant acceleration. It travels a distance s₁ in first 10 s and a distance s₂ in next 10 s. Find the relation b/w s₁ and s₂.

**Q.**

A car is traveling along the road at 8ms−1. It accelerates at 1 ms−2 for a distance of 18 m. How fast is it then traveling?

**Q.**

A motorcycle is being driven at a speed of 20 m/s when brakes are applied to bring it to rest in five seconds. The deceleration produced in this case will be :

(a) +4 m s2

(b)−4 m s2

(c) +0.25 m s2

(d) −0.25 m s2

**Q.**

A cheetah starts from rest, and accelerates at 2 m/s2 for 10 secibds, Calculate :

(a) the final velocity

(b) the distance travelled.

**Q.**

A train moving with a velocity of 20 m s−1 is brought to rest by applying brakes in 5 s.Calculate the retardation.

**Q.**

Describe the motion of a body which is accelerating at a constant rate of 10 m §−2. If the body starts from rest, how much distance will it cover in 2 s?

**Q.**A ball is thrown upwards with an initial velocity of 20 ms−1. Find the time of flight and the maximum height reached by the body respectively. (g=10 ms−2)

- 4 s

20 m - 5 s

25 m - 4 s

24 m - 5 s

30 m

**Q.**

A space craft flying in a straight course with a velocity of 75 m s−1 fires its rocket motors for 6.0 s.At the end of this time, its speed is 120 km s−1 in the same direction.Find:(i) the space craft's average acceleration while the motors were firing, (ii) the distance travelled by the space craft in the first 10 s after the rocket motors were started, the motors having been in action for only 6.0 s.