You and a friend stand on a snow-covered roof. You both throw snowballs with the

Question

You and a friend stand on a snow-covered roof. You both throw snowballs with the same initial speed, but in different directions. You throw your snowball downward, at 34 below the horizontal; your friend throws her snowball upward, at 34 above the horizontal. Suppose the two snowballs are thrown from an elevation of 16 m with an initial speed of 13 m/s

part A: What is the y component of the velocity of the ball, thrown upward when it is 3.0 m above the ground?

Part B: What is the y component of the velocity of the ball, thrown downward, when it is 3.0 m above the ground?

Explanation / Answer

here,

theta = 34 degree

elevation , h0 = 16 m

initial speed , u = 13 m/s

a)

let the y component of the velocity of the ball, thrown upward when it is 3.0 m above the ground be vy

using third equation of motion

vy^2 - (- u * sin(theta))^2 = 2 * g * ( h0 - h)

vy^2 - (- 13 * sin(34) )^2 = 2 * 9.81 * ( 16 - 3)

vy = 17.5 m/s

b)

let the y component of the velocity of the ball, thrown downward, when it is 3.0 m above the ground be vy

using third equation of motion

vy^2 - ( u * sin(theta))^2 = 2 * g * ( h0 - h)

vy^2 - ( 13 * sin(34) )^2 = 2 * 9.81 * ( 16 - 3)

vy = 17.5 m/s

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