# SOLUTION: When a ball is thrown, its height in feet h after t seconds is given by the equation h=vt-16t^2 where v is the initial upwards velocity in feet per second. If v=9 feet per

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Question 350709: When a ball is thrown, its height in feet h after t seconds is given by the equation
h=vt-16t^2
where v is the initial upwards velocity in feet per second. If v=9 feet per second, find all values of t for which h=1 foot. Do not round any intermediate steps. Round your answer to 2 decimal places.

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When a ball is thrown, its height in feet h after t seconds is given by the equation
h=vt-16t^2
where v is the initial upwards velocity in feet per second. If v=9 feet per second, find all values of t for which h=1 foot. Do not round any intermediate steps. Round your answer to 2 decimal places.
.
h=vt-16t^2
Substitute in the value for v:
h=9t-16t^2
Substitute in the value for h:
1=9t-16t^2
Solving for t:
1=9t-16t^2
16t^2+1=9t
16t^2-9t+1=0
Solve using the quadratic formula. Doing so yields
t = {0.41, 0.15} seconds
.