Kinematics bowling ball problem

In summary: I really appreciate it.In summary, the bowler hears the sound of the bowling ball hitting the pins 3 seconds after it is released. Using the equation d=v*t and the given information, we can calculate the speed of the ball to be 3.4 m/s.
  • #1
physicsss
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a bowling ball traveling with constant speed hits the pins at the end of a bowling lane 10 m long. The bowler hears the sound of the ball hitting the pins 3 sec after the ball is released from his hands. What is the speed of the ball? (Speed of sound is 340 m/s)

Can someone give me a hint? I know it involves d=v*t, but I don't know how I can use the speed of sound and the time when the ball hits the pins besides finding the distance the ball traveled...

thanks in advance
 
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  • #2
The total time between releasing the ball and hearing the sound of the ball hitting the pin is given as 3 seconds. This time, T, is the sum of t1, the time it takes the bowling ball to go down the lane, and t2, the time it takes for the sound to travel 10m. (T = t1 + t2) for t2, v = a = d/t2, where a is the speed of sound and d is 10 m. The same equation goes for t1: vball = d/t1. (the speed of the ball is unknown) To put it all together, solve for t1 and t2 and plug back into the first equation I wrote. I hope that helps.
 
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  • #3
tell me if I'm on the right track...

3=t1+t2
3=t1+(d/v)
3=t1+10/340
t1=2.97

d=vt
10=v*2.97
v=3.4 <-velocity of the ball
 
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  • #4
Looks good except for the second line, which looks like a typo. Speaking of which, I had a typo in my original post (fixed now, sorry about that). Anyway, good job.
 
  • #5
Fixed, and thank you so much for the help.
 

FAQ: Kinematics bowling ball problem

What is the Kinematics bowling ball problem?

The Kinematics bowling ball problem is a physics problem that involves calculating the motion of a bowling ball as it travels down a bowling lane. It takes into account factors such as the initial velocity, acceleration, and position of the ball, as well as the friction and other forces acting on it.

How do you solve the Kinematics bowling ball problem?

The Kinematics bowling ball problem can be solved using the equations of motion, which include the equations for velocity, acceleration, and displacement. These equations can be used to calculate the ball's position and velocity at any given time.

What are the key variables in the Kinematics bowling ball problem?

The key variables in the Kinematics bowling ball problem include the initial velocity of the ball, the acceleration due to gravity, the distance the ball travels, and the time it takes to travel that distance. Other variables that may be considered include the mass and diameter of the ball, as well as the coefficients of friction for the bowling lane and ball.

How does the Kinematics bowling ball problem relate to real-life bowling?

The Kinematics bowling ball problem is a simplified version of the physics involved in real-life bowling. It helps to explain the motion and behavior of a bowling ball on a bowling lane, and can be used to make predictions about the ball's trajectory and final position.

What are some common applications of the Kinematics bowling ball problem?

The Kinematics bowling ball problem is commonly used in the fields of physics and engineering to understand and analyze the motion of objects. It can also be applied in the sport of bowling to improve techniques and strategies, and in video game development to create realistic bowling simulations.

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