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a ball is thrown with a velocity of 20.0 m/s [30] and travels for 3.0 s before it strikes the ground. Find the distance it travels horizontally, the height from which it was thrown, the maximum height of the ball

 

5 years ago

Answered By Majid B

The distance ball travels horizontally:

vix = vi .  $\cos\theta_i=20\times\cos30=17.32$cosθi=20×cos30=17.32  m/s

d= vix . t = 17.32$\times3=51.96$×3=51.96

R = 51.96 m

The height from which ball was thrown:

viy = vi . $\sin\theta_i=20\times\sin30=10$sinθi=20×sin30=10   m/s

dy = (1/2).ay.t2+viy.t = (1/2) (-9.81) (32)+(10)(3)=-14.15 m

h0 = 14.15 m

The maximum height of the ball:

vfy2 - viy2 = (2) ay . dy

02 - 102 = (2) (-9.81) dy

dy =  $\frac{-100}{-19.62}=5.10$10019.62 =5.10 m

hmax = 5.10 + 14.15 = 19.25 m