**APEX INSTITUTE MOTION Target – IIT-JEE 2015**

- Calculate the average speed of a train, which covers 120 km in 2 hours. Distance covered by the train = 120 km .How far does a car travel in 2.5 h if its average speed is 60 km/h ?
- .A carriage moves 30 km in one hour. Calculate its speed in m/s. Is it average or uniform speed?
- You are asked to run in a straight line. If you cover a distance of 5 m in each second, what is your (a) speed (b) velocity?
- Draw the velocity time graph of a body moving with uniform velocity of 5m/s.
- Write the equation of motion connecting S, u, v and a where the symbols have their usual meanings.
- What do you infer, if the distance-time graph is a straight line?
- The distance (S) in meters traveled by a particle is related to time(t) in seconds by the equation of motion . What is the initial velocity of the particle?
- .On a 60 km track, a train travels the first 30 km at a uniform speed of 30 km/h. How fast must the train travel the next 30 km so that the average speed is 40 km/h for the entire trip?
- A train travels a distance with a speed of 30 km/h and returns with a speed of 50 km/h. Calculate the average speed of the train.
- Which one of the three is having maximum and the least average speed?1) Bicycle moving with 12 km/h 2) A man running with 5m/s 3) A car moving with 1500 m/min.
- A car moving with an initial velocity of 25 m/s is brought to rest in 20 seconds. Calculate the acceleration.
- A car, which was at rest, attains a speed of 90 km/h in 10 seconds. Calculate the acceleration.
- A body starts from rest and moves with a uniform acceleration of 2m/s2. What will be its velocity and displacement at the end of 10 seconds?
- A body moves with an initial velocity of 2 m/s and uniform acceleration of 3m/s2. Calculate the velocity when it has traveled a distance of 84 meters.
- Calculate the distance traveled in 10 seconds by an object Time (t) = 10 seconds
- Question 20.A ball starting from rest slides down an inclined plane of length 10 m with a speed of 10 m/s. What is the acceleration produced in the ball?
- A ship is moving at a speed of 56 km/h. One second later it is moving at 58 km/h. What is its acceleration?
- A car traveling at 20 km/h speeds up to 60 km/h in 6 seconds. What is its acceleration?
- What is the distance covered by a bus starting from rest and moving with a uniform acceleration of 1 m/s2 for 120 seconds?
- Find the initial velocity of a train, which is stopped in 25 seconds. The retardation produced in the train is 1.5 m/s2.
- A car travels 30 km at a uniform speed of 40 km/h and the next 30 km at a uniform speed of 20 km/h. Find its average speed.
- A car is moving with a uniform acceleration for the first ten seconds and then it moves with a uniform velocity of 30 m/s for the next ten seconds. The brakes are applied and the car comes to rest with a uniform acceleration in 5 seconds. Draw a v-t graph to show the nature of motion. How far does the car travel after the brakes are applied?
- Plot a displacement-time graph for the given data and calculate the speed (a) at the end of 5 seconds (b) in the next two seconds (c) in the last two seconds.
- A car is traveling at 54 km/h. If brakes are applied so as to produce uniform retardation of 5m/s2. Calculate the time taken by it to stop.
- A driver of a car A traveling at a uniform speed of 54 km/h for 10 secs applies the brakes and decelerates uniformly. The car stops in 5 seconds. Driver of car B going at 36 km/h for 10 sec applies the brakes slowly and stops after 10 seconds. Plot the speed-time graph of both cars and find out which of the two cars traveled further after the brakes were applied.
- What is the average speed of a car which covers half the distance with a speed of 20m/s and other half with a speed of 30m/s?

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