An archer releases an 0.025 kilogram arrow at a 50 degree angle with the horizontal with 300 meter per second of initial velocity. He strikes a 0.42 kilogram barn swallow in midflight at the apex of the arrow's trajectory. The barn swallow was flying on a trajectory 30 degree from the horizontal of the arrows path. The bird died instantly and fell from the sky.

a) Obtain the component of the arrow initial velocity.

b) Obtain the horizontal and vertical velocity at the apex of the arrow flight.

c) Find with what momentum does the arrow strike bird?

d) Find the magnitude and direction of the momentum of bird after interception?

e) Find how far along the ground was the apex of flight?

f) Find how far along the ground does the bird and arrow land?

g) Find with what velocity does it land?

h) Draw a free body diagram of the bird after the arrow has struck.

i) Find with what force do the bird and arrow strike the ground?