Question

John kicks the ball, and the ball does a projectile motion with an angle of 53o to horizontal with an initial velocity of 10 m/s. What is (a) its maximum height, (b) its maximum distance, and (c) its hangtime?

Answer 1

(a)

$H_{max} = \frac{u^2sin^2 θ}{2g} \\ = \frac{10^2 \times sin^2 53}{2 \times 9.81} \\ = 3.25086 \;m$

(b)

$R_{max} = \frac{u^2 sin2θ }{g} \\ = \frac{10^2 sin(2 \times 53)}{9.81} \\ = 9.7988 \;m$

(c)

$T= \frac{2u sin θ}{g} \\ = \frac{2 \times 10 \times sin53}{9.81} \\ = 1.6282 \;s$