Posted by **Elaine** on Wednesday, September 19, 2012 at 8:51am.

Bob jumps from a 2.0 m high table and wants to jump over a 0.85 m radius ball. How fast must Bob move horizontally to not land on the ball?

If we use kinematics equations for projectile, the answer is 2.66 m/s; however, with this velocity the person will land on the ball. I need to find the velocity at which the person will just miss the ball. And I know this velocity is less than 5 m/s. Thank you for your help.

- Physics -
**Damon**, Wednesday, September 19, 2012 at 9:20am
vertical motion

v = 9.81 t

y = 2 - .5(9.81)t^2

horizontal motion

v = u which is constant

x = u t

parabola

so t = x/u

y = 2 - 4.9 x^2/u^2

now the ball.

You did not tell me where the center of the ball is on the floor. I will assume it is at x = .85 and y = .85

If we just want to clear the top of the ball then the trajectory passes through the point (.85,1.7)

1.7 = 2 - 4.9 (.85)^2/u^2

-.3 = - 3.54/u^2

u = 3.44 m/s

Of course I should check if the Bob hits the ball further down on the far side after clearing the top. You can do that by solving for any other intersection of Bob and ball at x>.85

- Physics -
**Elaine**, Wednesday, September 19, 2012 at 9:51am
Hi Damon, thank you for your answer. With u=3.44m/s, Bob will hit the ball on the far side. The instructor showed a graph of the trajectory in class. So we know u is greater than 3.44 m/s but smaller than 5 m/s (he did a trajectory graph for u=5 m/s and Bob passed the ball by a distance). What he wants is an exact u that will help Bob not hit the ball.

## Answer this Question

## Related Questions

- Physics - Bob has just finished climbing a sheer cliff above a beach, and wants...
- Physics based Calculus - Bob has just finished climbing a sheer cliff above a ...
- College Physics - Bob has just finished climbing a sheer cliff above a beach, ...
- physics - A small ball rolls horizontally off the edge of a tabletop that is 1.2...
- Physics - An 80- quarterback jumps straight up in the air right before throwing ...
- Physics - A man throws a ball horizontally from the top of a hill 4.9m high. He...
- physics - A ball is projected horizontally from the edge of a table that is 1.15...
- physics - A ball is projected horizontally from the edge of a table that is 1.15...
- Physics - A small ball rolls horizontally off the edge of a table that is 1.20 m...
- physics - A 4.74 kg spherical ball with radius 1.4 cm rolls on a track with a ...