Physics Practice Test – Fundamentals of Motion (Motion Under Gravity – Questions with Answers and Explanations)

A stone is thrown vertically upwards and its height at any time t seconds is h = 45t – 9t². Find the maximum height reached. (WASSCE 2010 FM)

A. 45.25 m
B. 45.50 m
C. 56.00 m
D. 56.25 m

An object is projected vertically upwards. Its height, h(m), at time t seconds is given by h = 20t –  t² -  t³. Find the time at which it is momentarily at rest.

A. 2 ½  s
B. 2 s
C. 3 ½  s
D. 4 ½ s

An object is projected vertically upwards. Its height, h(m), at time t seconds is given by h = 20t –  t² -  t³. 

Find correct to two decimal places, the maximum height reached by the object.

A stone is projected vertically upwards with a speed of 10 ms^-1 from a point 8 metre above the ground. Find the maximum height reached. [Take g = 10 ms^-2] (WASSCE 2009 FM)

A. 13 metres
B. 15 metres
C. 18 metres
D. 23 metres

A ball falls from a height of 18 m above the ground. Find the speed with which the ball hits the ground [Take g = 10ms^-2] (WASSCE 2016 FM)

A. 9 ms^-1
B. 9.49 ms^-1
C. 13.42 ms^-1
D. 18.97 ms^-1