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
dx = vix . t = 17.32$\times3=51.96$×3=51.96 m
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
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
dx = vix . t = 17.32$\times3=51.96$×3=51.96 m
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 = $\frac{-100}{-19.62}=5.10$−100−19.62 =5.10 m
hmax = 5.10 + 14.15 = 19.25 m