Physics 114-0412 Weekly Homework Problems Week 3: Projectile Motion A ball is ro

Question

Physics 114-0412 Weekly Homework Problems Week 3: Projectile Motion A ball is rolled on a table so that it falls off the edge. It falls with a horizontal velocity of 0.5 table is 3 feet tall (0.9 m), then... if the How long until the ball hits the ground? What is the velocity of the ball in the y-direction in the instant before it hits the ground? In the x-direction? What is the total final velocity? How long does it take the ball to fall 1.5 ft (0.45 m)? What is the total velocity of the ball at 1.5 ft? How far from the table does the ball land? a. b. c. d.

Explanation / Answer

a) from the equation

y = v0y*t+1/2gt^2

voy = 0

t = sqrt(2y/g) = sqrt(2*0.9/9.8) = 0.429 sec

b) vx = v0x = 0.5 m/s

vy = v0y-gt = 0-9.8*0.429 = -4.2 m/s

c) 0.45 = 1/2*9.8*t^2

t = 0.303 sec

vx = v0x = 0.5 m/s

vy = -9.8*0.303 = -2.97 m/s

v = sqrt(vx^2+vy^2) = 3.01 m/s

d) x = vx*t = 0.5*0.429 = 0.214 m

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