V_{i} = Initial velocityV _{f} = Final velocityV _{x} = Horizontal velocity componentV _{y} = Vertical velocity componenta = Acceleration t = time H = Peak height X = Horizontal displacement | |||

For the horizontal components of motion, the equations are | |||

Remember horizontal acceleration is always zero for this problem ( a_{x} = 0). So we can rewrite above equations for horizontal motion as | |||

For the vertical components of motion, the equations are | |||

Apply equation (4) for vertical motion from point A to B | |||

At the maximum height there are no vertical velocity, so it is zero V_{fy} = 0 | |||

To reach maximum height it takes only half of the full flight time | |||

t = 3.28 s | |||

Time of flight 3.28 seconds | |||

Apply equation (1) for horizontal motion from point A to C | |||

X = 62.82 m | |||

Horizontal displacement 62.82 meters. | |||

Apply equation (5) for vertical motion from point A to B | |||

Y = 13.17 m | |||

Peak height 13.17 meters. | |||