Asked by Marcus
Ben throws a ball vertically upward from the top of a cliff. The height of the ball above the base is approximated by the model h = -5t² - 5t + 100, where h is the height in metres and t is the time in seconds.
a) After how many seconds does the ball hit the ground?
b) How long does it take for the ball to reach a height of 40 metres above the base of the cliff?
a) After how many seconds does the ball hit the ground?
b) How long does it take for the ball to reach a height of 40 metres above the base of the cliff?
Answers
Answered by
Reiny
a) set -5t² - 5t + 100 = 0 and solve for t
hint: divided all terms by -5, and then it factors nicely
b) -5t² - 5t + 100 = 40
solve as a quadratic using your favourite method
hint: divided all terms by -5, and then it factors nicely
b) -5t² - 5t + 100 = 40
solve as a quadratic using your favourite method
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