Solve for t. d=−16t^2 +4t
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a) For this question we set h=59 and solve for t, in order to do so we use the general formula for second-degree equations:
The height of the object will be 59 feet at t=7.41 seconds and t=0.34 seconds.
b) When the object reaches the ground, h=0 therefore:
Solving for t we get:
Therefore, since t cannot be negative the solution is t=7.9 seconds.