Asked by hesse
A certain baseball hit straight up in the air, is at height represented by:
h(t) = 4 + 50t – 16t2 , where t is time in seconds after being hit and h(t) is in feet. The function is valid for t > 0, until the ball hits the ground.
a) Sketch the graph of this function.
b) How high is it at t = 0?
c) When does it hit the ground?
d) When, if ever, is it 30 feet high?
e) When, if ever, is it 90 feet high?
f) When does it reach the maximum height?
g) What is the maximum height that it reaches?
h(t) = 4 + 50t – 16t2 , where t is time in seconds after being hit and h(t) is in feet. The function is valid for t > 0, until the ball hits the ground.
a) Sketch the graph of this function.
b) How high is it at t = 0?
c) When does it hit the ground?
d) When, if ever, is it 30 feet high?
e) When, if ever, is it 90 feet high?
f) When does it reach the maximum height?
g) What is the maximum height that it reaches?
Answers
Answered by
Scott
a) use fooplot dot com
b) 4 ft
c) set h=0 , then solve for t
d) set h=30 , then solve for t
... two solutions
e) never
f) axis of sym ... 50 / (2 * 16)
g) use value from f) in h(t)
b) 4 ft
c) set h=0 , then solve for t
d) set h=30 , then solve for t
... two solutions
e) never
f) axis of sym ... 50 / (2 * 16)
g) use value from f) in h(t)
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