A stone is projected vertically upward from the ground
MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation
Problem
A stone is projected vertically upward from the ground. Its height h metres after t seconds is given by the expression h=20t−5t2.
(i) After how many seconds will the stone return to the ground? (Take the instant of projection as t=0.)
(ii) At what time will the stone reach its maximum height?
(iii) What is this maximum height?