anonymous
  • anonymous
Heather hits a tennis ball upward with an initial speed of 32 feet per second. After how many seconds does the ball hit the ground? Use the formula h = rt − 16t^2 where h represents height in feet and r represents the initial speed.
Mathematics
schrodinger
  • schrodinger
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across
  • across
You have all you need to solve this problem. Where are you stuck?
across
  • across
Basically, you want to find a solution to the equation\[0=32t-16t^2,\]where \(t\neq0\).
anonymous
  • anonymous
You should also note that \[h=h_0 + v_0t+\frac{1}{2}gt^2\] where h is your height, h_0 is your initial height when you threw the ball, v_0 is your initial velocity, and g is the force of gravity (at 32ft/sec^2) You may run into this equation again in physics and this is the equation that is used there.

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across
  • across
You could also derive it from an ordinary differential equation if you feel like it...

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