The Equations of Motion

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 $2cm{s}^{-2}.$ 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 $6m/s^2$ 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/s${}^2$. 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 4$m/s^2$. 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/$s^2$ . 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 $m/s^2$ 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 8$m{s}^{-1}$. It accelerates at 1 $m{s}^{-2}$ 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) $+4m{s}^2$

(b)$-4m{s}^2$

(c) $+0.25m{s}^2$

(d) $-0.25m{s}^2$

Q.

A cheetah starts from rest, and accelerates at 2 $m/s^2$ 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 ${\S }^{-2}$. 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 $20m{s}^{-1}$. Find the time of flight and the maximum height reached by the body respectively. ($g=10m{s}^{-2}$)

1. $4s$
   $20m$
2. $5s$
   $25m$
3. $4s$
   $24m$
4. $5s$
   $30m$

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.