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A 0.165kg baseball pitched horizontally at 34.5 m/s strikes a bat and is popped straight up to a height of 40.0m.

a) If the contact time between bat and ball is 1.0ms, calculate the magnitude of the average force between the ball and bat during contact.

I got this part right. I used Pythagorean theorem, kinematics, and momentum to solve for the average force.

I get 7331N as average force

b) Find the direction of the average force on the ball.

This is where i can't seem to get it right.

I've set up the triangle with velocity vectors vx and vy. Then i used tan^-1 to get an angle. This was incorrect.

Given that vx=34.5m/s and finding that vy=28m/s

i used tan^-1 (Vup/Vpitched) and that angle was incorrect

I also tried tan^-1(Vpitched/Vup) and that angle was also incorrect

any hints on how to find the direction of average force?

The angle the question is looking for is the angle from the initial direction of motion of the ball.

Thanks