Finding distance traveled with only time

AI Thread Summary
To find the total distance traveled by a tennis ball shot vertically upwards that takes 3.2 seconds to return to the ground, one can use the concept of time and the equations of motion. The ball ascends for half the time (1.6 seconds) and descends for the other half, making the total distance equal to twice the height reached. The initial velocity can be calculated using the formula v = g*t, where g is the acceleration due to gravity (approximately 9.81 m/s²). The height can then be determined using the formula h = v*t - 0.5*g*t². Ultimately, the total distance traveled by the ball is twice the height calculated.
rasen58
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A tennis ball is shot vertically upwards from the ground. It takes 3.2 seconds for it to return to the ground. Find the total distance the ball traveled.

I don't know how to do this problem because they only give us time, and I can make the final velocity 0 m/s if I make it the top of the arc, but without knowing the initial velocity, is there a way to do this problem?
 
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Never mind, I was being really stupid for a second, but I figured it out.
Is there a way to delete this?
 
rasen58 said:
...I can make the final velocity 0 m/s if I make it the top of the arc, but without knowing the initial velocity, is there a way to do this problem?

Sounds good. Go with that!
 

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