Kinematics - Finding velocity of a baseball

In summary, the conversation discusses a baseball player hitting a ball with a velocity of 50 meters per second at an angle of 35 degrees below the horizontal. The questions asked pertain to the velocity of the ball upon leaving the bat, the horizontal distance traveled by the ball, and the time the ball was in the air. The summary also includes calculations for finding the initial velocity of the ball and the distance and time traveled.
  • #1
kidia
66
0
Hi I have a question
A baseball player hits a baseball that lands in stands 24 meters above the playing field.The ball land with velocity of 50 meters per second at angle of 35 degree below the horizontal.

a.If a player hits the ball 1 meter above the playing field,what was the velocity of the ball upon leaving the bat?
b.What was the horizontal distance traveled by ball
c.how long was the ball in air

I have done like this:

let r be angle in degrees

t=2usinr/g

time=?
velocity=50m/s
gravity=10

time= 2*50*sin35/10=5.74s
velocty of ball at 1m will be:

y=vsinrt-0.5gt
1=usin35*5.74-0.5*10*5.74*5.74
u=50.61m/s


b.horizontal distance traveled by ball

distance/time=velocity
then
distance/time=ucosr
distance=50cos35*5.74
distance=235m

c.Time of the ball in air.

t=2usinr/g

time=?
unitial velocity=50m/s
gravity=10

time= 2*50*sin35/10=5.74s

Any idea about this question?
 
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  • #2
Let the horizontal and vertical components of the initial velocity be [tex]u_1, u_2[/tex]

Apply [tex] v^2 = u^2 + 2fS[/tex] in vertical and horizonatal directions to find u1 and u2.

Note that the vertical distance traveled is 24 -1 = 23 m.

So inital velocity = [tex]\sqrt {(u_1^2 + u_2 ^2)}[/tex]

(2). Apply [tex] v = u + ft [/tex] vertically to find the time of travell

(3) Apply [tex] s = ut + \frac{1}{2} f t^2 [/tex] horizontally to find the distance travelled.
 
  • #3
Ooo is fine but my doubt is about the angle 35 degees u didn't mention it
 

FAQ: Kinematics - Finding velocity of a baseball

1. How do you calculate the velocity of a baseball?

To calculate the velocity of a baseball, you need to measure the displacement and time it takes for the ball to travel that distance. The formula for velocity is velocity = displacement / time. Therefore, by dividing the displacement by the time, you can determine the velocity of the baseball.

2. What is the unit of measurement for velocity?

The unit of measurement for velocity is meters per second (m/s). This unit represents the distance traveled per unit of time, which is the definition of velocity.

3. Can the velocity of a baseball change during its flight?

Yes, the velocity of a baseball can change during its flight. This is because the force of gravity and air resistance can impact the speed of the ball. As the ball travels further, it may experience changes in velocity due to these external forces.

4. How does the initial velocity affect the overall velocity of a baseball?

The initial velocity, or the velocity at which the ball is thrown, will determine the starting point for the velocity of the baseball. As the ball travels, external forces may cause changes in its velocity, but the initial velocity will always play a role in the overall velocity of the ball.

5. Can the velocity of a baseball be negative?

Yes, the velocity of a baseball can be negative. This would occur if the ball is thrown in the opposite direction of its intended target. Negative velocity indicates that the ball is moving in the opposite direction of its initial motion.

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