Question

Use the position function

s(t) = −16t² + v₀t + s₀

for free-falling objects.

A ball is thrown straight down from the top of a 500-foot building with an initial velocity of −40 feet per second.

(a)

Determine the position and velocity v(t) functions for the ball.

s(t)

=

v(t)

=

(b)

Determine the average velocity, in feet per second, on the interval

[1, 2].

ft/s

(c)

Find the instantaneous velocities, in feet per second, when t = 1and t = 2.

v(1)

= ft/s

v(2)

= ft/s

(d)

Find the time, in seconds, required for the ball to reach ground level. (Round your answer to three decimal places.)

=s

(e)

Find the velocity of the ball, in feet per second, at impact. (Round your answer to one decimal place.)

=ft/s

Answer 1