A ball is dropped from a window 140 feet above the ground.Assume that its acceleration is a(t)= -32 ft/sec²for t$\ge$ 0.Find the velocity of the ball as a function of time t.(All answers are in ft/sec.) A) $-16 t^{2}+140$ B) $-32 t$ C) $-32+140$ D) $-16 t^{2}$

Question

Quizplus · Accepted Answer

The acceleration due to gravity is constant at -32 ft/sec^2. The velocity function is the integral of the acceleration function, which gives v(t) = -32t + C. Since the initial velocity (at t=0) is 0 (the ball is dropped, not thrown), C = 0. Thus, the velocity function is v(t) = -32t.

A Ball Is Dropped from a Window 140 Feet Above ≥\ge≥

A Ball Is Dropped from a Window 140 Feet Above $\ge$