Tuesday, January 5, 2010

Quarterback Ball Release Timing Projectile Motion Problem?

Projectile Motion problem? - quarterback ball release timing

Quarterback Football launches a pass at an angle of 38.2 °. The initial step of 3.50 m behind the line of scrimmage. Your receiver on the left of the line of scrimmage 2.7 seconds, before he settled on the ground at a constant speed of 7.50 m / s. How fast must the quarterback throw the ball, so that the transition from land softly in the hands of the recipient without the step of receiving the last minute? Assume that the ball is on the same level of muzzle launched and the receiver will jump to Downfield quarterback at the time of publication. (Ignore any effects due to the resistance of air.)

1 comment:

Engineer... said...

I'll give you the opportunity to solve this problem, because it appears to be a homework problem.

It is necessary to solve two equations:
1. The horizontal speed of the ball after the flight time is equal to the first distance of the receiver, in addition to their speed * time (must be in the same horizontal position on the field) are at the same time.

2. The height of the ball must be equal to the amount of clearance.

You can use this as both the linear and quadratic equations, but they may also need the second degree with the statement that the ball twice on his return to the starting amount of time to reduce its vertical velocity to zero.

So:

Vball * cos 38.2 ° t = 3.5 m + 7.5 T (2.7)

2 without vball GT = 38.2 °

Post a Comment