Projectile Motion baseball hit at ground level

In summary, the ball is observed to reach its maximum height 3.0 s after being hit and barely clears a fence 2.5 s after reaching this maximum height. The height of the fence can be found by using the equations x-x0=vx0t and y-y0=vyot-gt^2/2, as well as the fact that the ball reaches its maximum height in half the time it takes to reach the ground again. This can also be proved using the equation v-u/t=a.
  • #1
rasikan
21
0

Homework Statement



A baseball is hit at ground level. The ball is observed to reach its maximum height above ground level 3.0 s after begin hit. And 2.5 s after reaching this maximum height, the ball is observed to barely clear a fence that is 320 ft from where it was hit. How high is the fence?

Homework Equations


i think I can use these equation
x-x0=vx0t
y-y0=vyot-gt^2/2

The Attempt at a Solution


I have no clue about this question
 
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  • #2
I would start with the fact that you know the time to maximum height. Since it is parabolic motion, you can use this to find the maximum height since you know that at the instant of maximum height, Vy=0. See if that helps.
 
  • #3
Another consequence of parabolic motion is that the ball reaches its maximum height in half the time it takes to reach the ground again.
 
  • #4
arunma said:
Another consequence of parabolic motion is that the ball reaches its maximum height in half the time it takes to reach the ground again.
This can also be proved by using
v-u/t=a
 
Last edited:

Related to Projectile Motion baseball hit at ground level

1. What is projectile motion?

Projectile motion is the motion of an object through the air or space under the influence of gravity alone. It follows a curved path known as a parabola.

2. How does a baseball hit at ground level follow projectile motion?

When a baseball is hit at ground level, it moves forward in a straight line but also has an upward component due to the initial force applied by the hitter. As soon as it leaves the bat, it is subject to gravity, causing it to follow a parabolic path.

3. What factors can affect the projectile motion of a baseball hit at ground level?

The factors that can affect the projectile motion of a baseball include the initial velocity, angle of launch, air resistance, and gravitational force.

4. How does air resistance affect the projectile motion of a baseball?

Air resistance, also known as drag, can slow down the forward motion of the baseball and alter its trajectory. This is why baseballs are designed to be aerodynamic, with smooth surfaces and stitches that help reduce drag.

5. Is the distance the baseball travels dependent on the angle of launch?

Yes, the angle of launch plays a crucial role in determining the distance a baseball will travel. An optimal angle of launch is around 45 degrees, which allows for a balance between horizontal and vertical velocity, resulting in a longer distance traveled.

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