Physics Motion in One Dimension Numerical2c
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Numericals
Q1 A body starts from rest with a uniform acceleration of 2m/s. Find the distance covered by the body in 2s.
Q2 A body starts with an initial velocity of 10m/s and acceleration 5m/s2 . Find the distance covered by it in 5s.
Q3 A vehicle is accelerating on a straight road. Its velocity at any instant is 30km/h, after 2s, it is 33.6km/h and after further 2s, it is 37.2km/h. Find the acceleration of vehicle in m/s2 . Is the acceleration uniform?
Q4 A body, initially at rest, starts moving with a constant acceleration 2m/s2 . Calculate: (i) the velocity acquired and (ii) and the distance travelled in 5s
Q5 A body initially moving with a velocity 20m/s strikes a target and comes to rest after penetrating a distance 10cm in the target. Calculate the retardation caused by the target.
Q6 A train moving with a velocity of 20m/s is brought to rest by applying brakes in 5s. Calculate the retardation.
Q7 A train travels with a speed of 60km/h from station A to station B and then comes back with a speed 80km/h from station B to station A. Find: (i) the average speed, and (ii) the average velocity of train
Q8 A train is moving with a velocity of 90km/h. It is brought to stop by applying the brakes which produce a retardation of 0.5m/s2 . Find: (i) the velocity after 10s, and (ii) the time taken by the train to come to rest
Q9 A car travels a distance 100m with a constant acceleration and average velocity of 20m/s. The final velocity acquired by the car is 25m/s. Find: (i) the initial velocity and (ii) acceleration of car
Q10 When brakes are applied to a bus, the retardation produced is 25cm/s and the bus takes 20s to stop. Calculate: (i) the initial velocity of bus, and (ii) the distance travelled by the bus during this time.
Q11 A body moves from rest with a uniform acceleration and travels 270m in 3s. Find the velocity of the body at 10s after the start.
Q12 A body moving with a constant acceleration travels the distances 3m and 8m respectively in 1s and 2s. Calculate: (i) the initial velocity, and (ii) the acceleration of body
Q13 A car travels with a uniform velocity of 25m/s for 5s. The brakes are then applied and the car is uniformly retarded and comes to rest in further 10s. 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.
Q14 A space craft flying in a straight course with a velocity of 75km/s fires its rocket motors for 6.0s. At the end of this time, its speed is 120km/s 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 10s after the rocket motors were started, the motors having been in action for only 6.0s.
Q15 A train starts from rest and accelerates uniformly at a rate of 2m/s2 for 10s. It then maintains a constant speed for 200s. The brakes are then applied and the train is uniformly retarded and comes to rest in 50s. Find: (i) the maximum velocity reached, (ii) the retardation in the last 50s, (iii) the total distance travelled, and (iv)the average velocity of the train
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