A baseball (m = 0.14 kg) thrown by a pitcher reaches a bat with a velocity of 32.0 m/s in a horizontal direction.
a) Computer the impulse that must be applied to the ball if it is to leave the bat with an initial velocity of 47.0 m/s, directed 40˚ above the horizontal direction?
b) Find the average force acting on base ball in the 2 x 10-3 s intervals during which it is in contact with bat?

According to the impulse-momentum theorem, the impulsive applied to the ball equals it change in momentum
![]()
![]()
We express this equation for component form for horizontal direction as
![]()
![]()
![]()
![]()
Find impulsive applied on vertical direction
![]()
![]()
![]()
Impulsive magnitude
![]()
![]()
![]()
Impulsive direction

![]()
Θ = 82.46˚
Average force acting on the ball in the 2 x 10-3 s intervals is
![]()
![]()
Average force acting on the ball 9100 N.