The function /gives the height of a ball, h, above the ground (measured in feet)

Question

The function /gives the height of a ball, h, above the ground (measured in feet) in terms of the number of seconds elapsed since the ball was thrown upwand froma bridge that is some distance above the ground, L Let h = rt) and rt)--16e, 2i1+ is a. Approximately how high is the bridge above the ground? feet Preview 184 b. After how many seconds does the ball hit the ground? s seconds after the ball was thrown Preview c. After how many seconds does the ball reach its maximum height above the ground? a seconds Preview d. What is the maximum height above the ground reached by the balt Preview feet ahove the ground Post this question to forum

Explanation / Answer

f(t) = -16t^2 + 21t + 184

b) hit the ground means height = 0

0 = -16t^2 + 21t + 184  

t = { - 21+ - sqrt ( 21^2 - 4 * 184 * -16 ) } / -32

t = 4.11

ball will hit the ground after 4.11 seconds

c) maximum height occurs at

t = -21/2(-16) = 0.65625 seconds

d) maximum height is -16(.65625)^2 + 21(.65625) + 184  

= 190.89 feet

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