A football is kicked at an angle t = 37.0 degree with a velocity of 20.0 m/s. Ho

Question

A football is kicked at an angle t = 37.0 degree with a velocity of 20.0 m/s. How long is the football in the air? What height does the football reach What is the speed at x-direction of the rock just before it strikes the ground? What is the speed at y-direction of the rock just before it strikes the ground? What is the speed of the rock just before it strikes the ground? A 15 kg block is pulled up a 28 degrees frictionless slope by a force of 100 N. What is the normal force that the slope exerts on the block? What is the acceleration of the block?

Explanation / Answer

here,

angle t = 37 degrees
velocity = v = 20 m/s

25) time of flight for projectile is given as

t = 2Vsint/g
t = 2*20*sin37/9.8

t = 2.45 s

26)
maximum height is given as

h = V^2 * sint^2 /2g

h = 20^2 * (sin37)^2 / 2*9.8

h = 7.39 m

Maximum height attained by footbal is 7.39m

27)

Vx = Vcos37 = 20*0.79 = 15.97 m/s

Speed in X direction just before it hits the ground is 15.97 m/s

28)

Vy = -Vsin37 = -20 * 0.60
Vy = -12.03

Speed in Y direction just before it hits the ground is -12.03 m/s

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