MATHEMATICS · Multi-part · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives
Problem
During its vertical motion, the displacement s (in metres) of a ball thrown upward from the ground is given by the expression
s=15t−5t2,
where t is the time in seconds measured from the instant of projection.
(i) State the initial velocity of projection and the magnitude of the acceleration acting on the ball.
(ii) At what time does the ball reach its maximum height? Show your working.
(iii) Calculate the maximum height reached by the ball.