Problem 1: An object travels 60 m in the first 6 seconds. Then keeps uniform motion for next 9 seconds. In the last 10 seconds of the journey it de-accelerates uniformly to rest. Find:
(i) maximum speed attained in the journey
(ii) total distance traveled in the whole journey.
Problem 2: An object is traveling with constant acceleration of 10 m/s. How much distance will it travel in 3rd second of its journey?
Problem 3: A helicopter is ascending vertically at a speed of 19.6 ms-1. When it is at a height of 156.8 m above the ground, a stone is dropped. How long does the stone take to reach the ground? See Solution
Problem 4: Using the following data, draw a velocity-time graph for a short journey on a straight road of a motorbike. See Solution
Problem 5: A proton is moving with a speed of 1 × 107 m/s, passes through a 0.020 cm thick sheet of paper and emerges with a speed of 2.0 × 106 ms-1. Assuming uniform deceleration, find retardation and time taken to pass through the paper.See Solution
Problem 6: A constant force F changes the speed of 80 kg sprinter (athlete) from 3 m/s to 4 m/s in 0.5 seconds. Calculate the acceleration of the sprinter.See Solution
Problem 7: A 4 kg ball traveling with a speed of 2 m/s strike a rigid wall and rebounds elastically. If the ball is in contact with the wall for 0.05 sec, what is
- the momentum imparted to the wall
- the average force exerted on the wall
Problem 8: A projectile is thrown with a speed of 100 ms-1 at 300 with the horizontal. Find
- Time of flight (b) Maximum
height it raised (c) The range
Problem 9: The maximum height gained by a projectile is 300 m. If it travels a range of 800 m, find the displacement of summit point from the point of projection. See Solution
Problem 10: Calculate the angle of projection for which K.E at the highest point of its trajectory is equal to one fourth of its K.E at the point of projection. See Solution