Problem 68 of 7
Find when projectile h(t)=-16t^2+48t+64 reaches target height 64.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
solve quadratic equation h(t)=target.
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Target height must be compared against the projectile's reachable heights.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Set the height function equal to the target height.
2. Solve the quadratic equation.
3. Keep times that are meaningful in the projectile context.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Only one time when the projectile reaches the height on both rising and falling paths.