PROBLEM 78

A motor car accelerates from rest with a constant acceleration f and reaches a speed of 24 m/s after 12 s. Evaluate f and also the distance x travelled during that time.

PROBLEM 79

A car travels a distance of 480m in 30s by accelerating from rest at 2m/s2 until it reaches a certain speed v = vc. The speed v = vc is then maintained constant for some time until the brakes are applied to bring the car to rest with a constant deceleration of 3m/s2. Evaluate the speed vc.

PROBLEM 80

A point P moves in a straight line with simple harmonic motion about a fixed point O. If the acceleration of P is 0.8m/s2 when its distance from O is 0.2m, find the period T of the oscillation. Also, if the velocity of P is 0.8m/s as it passes through O, find the amplitude a of the oscillation.

PROBLEM 81

A point P moves in a straight line with simple harmonic motion about a fixed point O with period T = 2s. As P moves away from O it passes another fixed point Q with velocity 0.2m/s, the distance OQ being 0.1m. Find the time which elapses before P passes Q again on the way back.

PROBLEM 82

A crank rotates at a constant angular speed. Attached to the crank is a block which slides up and down a guide, the latter being attached to a piston, as shown in Figure 16.1.