Question

# A ball is thrown vertically upward from a height of 5 ft with an initial velocity...

A ball is thrown vertically upward from a height of 5 ft with an initial velocity of 83 ft/s. The distance s (in feet) of the ball from the ground after t seconds is s = s(t) = 5 + 83t − 16t^2. (a) What is the velocity v, in feet per second, of the ball after 2 seconds?

(b) When, in seconds, will the ball reach its maximum height? (Round your answer to one decimal place.)

(c) What is the maximum height, in feet, the ball reaches? (Round your answer to one decimal place.)

(d) What is the acceleration a, in feet per second per second, of the ball at any time t? a(t) = ft/s2 (e) How long, in seconds, is the ball in the air? (Round your answer to three decimal places.) t = s

(f) What is the velocity of the ball, in feet per second, upon impact with the ground? (Round your answer to two decimal places.) v = ft/s What is its speed in feet per second? (Round your answer to two decimal places.)

(g) What is the total distance traveled, in feet, by the ball? (Round your answer to one decimal place.) ft