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

In summary, a tennis ball is thrown from the ground and 3 seconds later, it has a horizontal velocity of 15 m/s. Using the formula distance = rate * time, we can determine that the total distance the ball travels is 45 meters. To find the peak altitude, we can use the formula 1/2at^2 and realize that the ball reaches the top of its flight halfway through. The angle of impact can be found by using the inverse tangent and the x and y velocities at impact. Alternatively, it can be assumed to be the same as the angle of launch.
  • #1
DR33
25
0
a tennis ball is thrown from the ground. 3 secs later, Vx = 15 m/s (horizontal). Determine the range.
 
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  • #2
Answer is 90.0m.. I just don't know how to get to it??
 
  • #3
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.
 
  • #4
Thank so much..
I just made a fool of myself when I think about it again :p

L8er
 
  • #5
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.
 
  • #6
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.
 

1. What is the average range of a tennis ball thrown from the ground with a velocity of 15 m/s?

The average range of a tennis ball thrown from the ground with a velocity of 15 m/s is approximately 67.5 meters. This assumes no air resistance and a flat, level surface.

2. How does air resistance affect the range of a tennis ball thrown from the ground?

Air resistance can greatly decrease the range of a tennis ball thrown from the ground. The drag force from air resistance acts in the opposite direction of the ball's motion, slowing it down and reducing its range. This effect becomes more significant at higher velocities.

3. What factors can influence the range of a tennis ball thrown from the ground?

The range of a tennis ball thrown from the ground can be influenced by a number of factors, including the initial velocity, angle of throw, air resistance, and surface conditions. Other factors such as humidity, temperature, and altitude can also play a role.

4. Can the range of a tennis ball thrown from the ground be increased?

Yes, the range of a tennis ball thrown from the ground can be increased by increasing the initial velocity, throwing at a higher angle, or reducing air resistance. However, there are limits to how much the range can be increased based on the physical capabilities of the thrower and other external factors.

5. How does the range of a tennis ball thrown from the ground compare to other objects thrown with the same velocity?

The range of a tennis ball thrown from the ground may vary depending on the specific object and its shape and weight. Generally, a tennis ball will have a shorter range compared to more aerodynamic objects such as a football or a Frisbee. However, it may have a longer range compared to heavier objects with less aerodynamic properties, such as a baseball.

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