A ball is thrown vertically upward from a height of5ft with an initial velocity of

81ft/s.

The distances(in feet) of the ball from the ground aftertseconds is

s=s(t) =5+81t16t².

(a) What is the velocityv, 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= s

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

h= ft

(d) What is the accelerationa, in feet per second per second, of the ball at any timet?

a(t) =

32

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

7. [8/16 Points] DETAILS PREVIOUS ANSWERS SULLIVANCALC2HS 2.4.084. MY NOTES ASK YOUR TEACHER A ball is thrown vertically upward from a height of 5 ft with an initial velocity of 81 ft/s. The distance s (in feet) of the ball from the ground after t seconds is s = s(t) = 5 + 81t - 1612. (a) What is the velocity v, in feet per second, of the ball after 2 seconds? v(2) = 17 v it/s (b) When, in seconds, will the ball reach its maximum height? (Round your answer to one decimal place.) t = 25 S (c) What is the maximum height, in feet, the ball reaches? (Round your answer to one decimal place.) h = 107.5 v it (d) What is the acceleration a, in feet per second per second, of the ball at any time t? a(t) = 32 ft/s2 X (e) How long, in seconds, is the ball in the air? (Round your answer to three decimal places.) t = 5.123 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.) ft/s (g) What is the total distance traveled, in feet, by the ball? (Round your answer to one decimal place.) ft