Range of Tennis Ball Thrown from Ground: 15 m/s

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A tennis ball thrown from the ground with a horizontal velocity of 15 m/s travels for 3 seconds, resulting in a calculated range of 90 meters. The distance formula, Distance = rate × time, indicates that the ball covers 45 meters horizontally in that time frame. However, the discussion clarifies that the total distance is 90 meters, considering the ball's trajectory. The angle of impact is noted to be the same as the launch angle, and there is a suggestion to use inverse tangent for calculating angles based on velocity components. The initial problem statement lacked sufficient information, particularly regarding the vertical motion of the ball.
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a tennis ball is thrown from the ground. 3 secs later, Vx = 15 m/s (horizontal). Determine the range.
 
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Answer is 90.0m.. I just don't know how to get to it??
 
If the horizontal velocity is 15 m/s and the ball spends 3 seconds in the air, then the total distance it travels is 45 meters.

Distance=rate*time.

If it takes 3 seconds to reach the peak of it's flight, then it goes 90m.
 
Thank so much..
I just made a fool of myself when I think about it again :p

L8er
 
You asked about the angle of impact. It's easier to figure out the peak altitude by using:
\frac{1}{2}at^2

And realizing that the ball hits the top halfway through the fight.

If you want to find the angle of impact, the easiest option is that it's the same as the angle of launch. Alternatively, you can use the inverse tangent and the x and y velocities at impact.
 
Originally posted by DR33
a tennis ball is thrown from the ground. 3 secs later, Vx = 15 m/s (horizontal). Determine the range.

You must have written the problem incorrectly. As it was written, it didn't have enough information.

"Vx = 15 m/s (horizontal)" was misleading. Vx is always horizontal, if we assume the x-axis is horizontal, and it's always 15 m/s if we are allowed to ignore air resistance.
 
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