A ball is launched vertically upward from a height of with an initial velocity of

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A ball is launched vertically upward from a height of

1.5\text{ m}

with an initial velocity of

20\text{ m/s}

. The vertical acceleration due to gravity is a constant

-9.8\text{ m/s}^2

. Determine the height function

s(t)

(in meters) of the ball for

t\ge 0