# Transcribed Image Text: A ball is thrown vertically upward from a height of 6 ft with an initial velocity of 77 ft/s

Transcribed Image Text: A ball is thrown vertically upward from a height of 6 ft with an initial velocity of 77 ft/s. The distance s (in feet) of the ball from the ground after t seconds is s = s(t) = 6 + 77t – 16t2.

(a) What is the velocity v, in feet per second, of the ball after 2 seconds?

v(2) =

ft/s

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

t =

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

h =

| ft

(d) What is the acceleration a, in feet per second per second, of the ball at any time t?

a(t) =

ft/s?

(e) How long, in seconds, is the ball in the air? (Round your answer to three decimal places.)

t =

(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.)

ft/s

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

ft

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