# Relative Velocity: How high does a ball rise after being thrown from a train

A science student is riding on a flatcar of a train traveling along a straight horizontal track at a constant speed of 10.6 m/s. The student throws a ball along a path that she judges to make an initial angle of 56.4 degrees with the horizontal and to be in line with the track. The student's professor, who is standing on the ground nearby, observes the ball to rise vertically. How high does the ball rise?

Solution Summary

The solution provides the formulas used to complete the problem as well as a good explanation.

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Yinon Shafrir, PhD

Rating 5.0/5

Active since 2003

BA, Technion, Israel Institute of Technology
MSc, Clarkson University, NY
PhD, Clarkson University, NY

Responses 3216

Comments on Yinon's work:

"Y incredible thank you hope you got all the right gifts! C"

"Could you please include the commands for the maple plots. Also, what can you say about V-dot when alpha = 0? I think its the same case as alpha > 0."

"Thank you so much I have realized that my memory is part of the reason why I get stuck in certain parts In other words the simplest of things from long term memory I forget while the difficult parts I can think through which means that I have to go back and revise basic simple algebraic manipulations Thank you so much for your meticulous clear and exact answers"

"Hi thanks very much Can you please explain to me point 1.13 where did you get that from Is that in this case from Csin(ωt) differentiated twice"

"Thank you."