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

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Homework Help Overview

The problem involves a tennis ball thrown from the ground with a specified horizontal velocity of 15 m/s and a time of 3 seconds in the air. Participants are discussing how to determine the range of the ball based on this information.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Some participants attempt to calculate the range using the horizontal velocity and time, while others question the adequacy of the provided information and the assumptions made regarding the problem setup.

Discussion Status

The discussion includes various interpretations of the problem, with some participants suggesting calculations based on the horizontal distance traveled, while others express uncertainty about the completeness of the information given. There is no explicit consensus on the correct approach or interpretation.

Contextual Notes

Participants note potential issues with the problem's wording and the assumption that air resistance can be ignored, which may affect the calculations. There is also mention of the angle of impact and its relation to the angle of launch, indicating further complexity in the problem.

DR33
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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:
[tex]\frac{1}{2}at^2[/tex]

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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