JAMB Physics 2008 Objective — Question 11

Question 11 of 50 from the Joint Admissions and Matriculation Board (JAMB) Physics 2008 Objective paper, with the correct answer and a full explanation.

11. If a body of mass 5 kg is thrown vertically upwards with velocity u, at what height will the potential energy be equal to the kinetic energy?

A. h=u²/g
B. h=u²/4gCorrect
C. h=2u²/g
D. h=u²/2g

Explanation

By conservation of energy, ½mu² = mgh + ½mv², and setting PE=KE (mgh=½mv²) gives ½mu² = 2mgh, so h = u²/4g.

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