A ball is thrown vertically upward with an initial speed of

PHYSICS · Multi-part · CBSE · Physics · Gravitation · Gravitation

Problem

u

. Neglect air resistance. (i) Replacing the constant acceleration

a

in the standard kinematic equations by

-g

, derive an expression for the vertical displacement

y

of the ball at any time

t

after projection. (ii) Using your result from part (i), show that the maximum height

H

reached by the ball is given by

H = \tfrac{u^{2}}{2g}

. (iii) Calculate the maximum height attained when

u = 30\,\text{m\,s}^{-1}

, taking

g = 9.8\,\text{m\,s}^{-2}