Can You Qualify for the Olympics by Long Jumping on a Moon?

[r_swayze]

I have no idea where to begin with this problem. To me it seems like its missing information.

You desperately want to qualify for the Olympics in the long jump, so you decide to hold the qualifying event on the moon of your choice. You need to jump 7.52 m to qualify. The maximum speed at which you can run at any location is 5.90 m/s. What is the magnitude of the maximum rate of freefall acceleration the moon can have for you to achieve your dream?

any help?

 

[rl.bhat]

I have no idea where to begin with this problem. To me it seems like its missing information.

You desperately want to qualify for the Olympics in the long jump, so you decide to hold the qualifying event on the moon of your choice. You need to jump 7.52 m to qualify. The maximum speed at which you can run at any location is 5.90 m/s. What is the magnitude of the maximum rate of freefall acceleration the moon can have for you to achieve your dream?

any help?

Problem is based on the projectile motion. Can you state the relevant equations?
Here the range and the initial velocity is given.
What should the the angle projection for maximum range?

 

[r_swayze]

Problem is based on the projectile motion. Can you state the relevant equations?
Here the range and the initial velocity is given.
What should the the angle projection for maximum range?

according to the book the relevant equation is:

change in x = (-v^2 sin(2*theta)) / ay

I don't know theta so I don't think I can use this equation right?

and isn't 5.90 m/s the velocity of the x component? or is that the initial velocity of the jump?

 

[Phrak]

I don't know theta so I don't think I can use this equation right?

That's correct. Without calculus you can't calculate what trajectory will give you the greatest distance. On the other hand, maybe you were told it was 45 degrees.

 

[rl.bhat]

according to the book the relevant equation is:

change in x = (-v^2 sin(2*theta)) / ay

I don't know theta so I don't think I can use this equation right?

and isn't 5.90 m/s the velocity of the x component? or is that the initial velocity of the jump?

The velocity is the initial velocity of jump. For maximum range, sin2θ should be 1 or θ should be 45 degrees.

 

[Phrak]

How is theta defined in that equation?

 

[rl.bhat]

How is theta defined in that equation?

The angle through which the long jumper leaves the ground. But you have to assume him as a point object.