Please show steps Matt Shoots the ball with an initial velocity of 20 m/s at an

Question

Please show steps

Matt Shoots the ball with an initial velocity of 20 m/s at an angle of 53 degree above the horizontal. Three seconds later, the ball swooshes through the hoop. HIS friend, Mo, is waiting directly under the basket. In the questions that follow, you may neglect air resistance and assume that g 10 In/s^2. Find the components of the initial velocity vector v0. How far is Matt from Mo when he shoots the ball?. What is the y-component of the ball?s velocity (vs) when it goes through the hoop? What is the speed of the ball when it goes through the hoop? [ Hint: The answer is NOT 20 m/s.] How much higher is the hoop than the release point of the ball?

Explanation / Answer

A)

x-component is Vx = 20*cos(53) = 12.03 m/s

y-component is vy = 20*sin(53) = 15.97 m/s

B) R = u^2*sin(2*53)/g = 39.2 m

C) t = 3s

vfy = (uy)-(g*t)= 15.97-(9.8*3) = 13.43 m/s in downward direction

D) V = sqrt(13.43^2+12.03^2) = 18.03 m/s

E) y = (uy*t)-(0.5*g*t^2) = (15.97*3)-(0.5*9.8*3*3) = 3.81 m

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