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A target lies flat on the ground 11 m from the side of a building that is 10 m t

ID: 1283985 • Letter: A

Question

A target lies flat on the ground 11 m from the
side of a building that is 10 m tall, as shown
below.
The acceleration of gravity is 10 m/s^2
.Air
resistance is negligible.
A student rolls a 11 kg ball off the horizontal
roof of the building in the direction of the
target.The horizontal speed v with which the ball
must leave the roof if it is to strike the target
is most nearly????

A target lies flat on the ground 11 m from the side of a building that is 10 m tall, as shown below. The acceleration of gravity is 10 m/s^2 .Air resistance is negligible. A student rolls a 11 kg ball off the horizontal roof of the building in the direction of the target.The horizontal speed v with which the ball must leave the roof if it is to strike the target is most nearly????

Explanation / Answer

y direction
y = y0 + v0y t + 1/2 a t^2

0 = 10 - 0.5*10 *t^2

5 t^2 = 10

t^2 = 2

t = sqrt(2)

x direction

x = v t

v = x/t = 11/sqrt(2) = 11 sqrt(2)/2

so 2)

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