Hey everyone I was looking for help on understanding thisproblem. A cannonball i

Question

Hey everyone I was looking for help on understanding thisproblem. A cannonball is shot out of a cannon with some initial speedof V(initial) and angle theta. The cannonball flies up in the airand lands at the same altitude from which it left. -Show that the final speed when the cannonball hits the groundis equal to the initial speed. -Show that the time it takes to get to the top of the arc isexactly half the total time. Help would be greatly appreciated! Projectilemotion/kinematics is not my strong point. Thanks A cannonball is shot out of a cannon with some initial speedof V(initial) and angle theta. The cannonball flies up in the airand lands at the same altitude from which it left. -Show that the final speed when the cannonball hits the groundis equal to the initial speed. -Show that the time it takes to get to the top of the arc isexactly half the total time. Help would be greatly appreciated! Projectilemotion/kinematics is not my strong point. Thanks

Explanation / Answer

h=displacement=0 for the entire motion hence 0=ut-gt2/2 hence t=2u/g    this is the time taken to reach thesame level but V=U-gt=-U this is of same magnitude but in opposite direction and horizontal component of velocity is unaltered due to the lack of forces in that direction it reaches the half of arc when vertical component of velocity is 0 i.e at t=U/g from V=U-gt=0 time for next half=2U/g-U/g=U/G

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