A ball of mass is projected vertically upward from the ground with an initial speed of

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A ball of mass

1.5\,\text{kg}

is projected vertically upward from the ground with an initial speed of

20\,\text{m\,s}^{-1}

. While the ball is moving upward, a constant resistive force of

6\,\text{N}

acts on it in the downward direction in addition to gravity. (i) Obtain, in symbolic form, an expression for the maximum height

h

reached by the ball in terms of its initial speed

u

, mass

m

, gravitational acceleration

g

and the magnitude

R

of the resistive force. (ii) Using your expression, calculate the numerical value of

h

for the given data.