Asked by arlene
Problem Solving. Anne throws a ball horizontally from the top of a building that is 50 m high. He hopes the ball will reach the swimming pool that is at the bottom of a building 12 m horizontally from the edge of the building. If the ball is to reach the pool, with what initial speed must Anne throw it with? Given: Dy = 50m Dx = 12 m Find =V1
Answers
Answered by
MathMate
Anne throws a ball <i>horizontally</i>...
so the problem reduces to a free-fall over 50m.
The equation
Dy=-50m = V0t+(1/2)gt^2
will let you solve for the time to hit ground, and where
v0=initial vertical velocity = 0, and
g=acceleration due to gravity = -9.8 m/s²
During this time, the ball must travel Dx=12m horizontally.
So using Distance = speed * time will let you solve for the <i>horizontal</i> speed required.
so the problem reduces to a free-fall over 50m.
The equation
Dy=-50m = V0t+(1/2)gt^2
will let you solve for the time to hit ground, and where
v0=initial vertical velocity = 0, and
g=acceleration due to gravity = -9.8 m/s²
During this time, the ball must travel Dx=12m horizontally.
So using Distance = speed * time will let you solve for the <i>horizontal</i> speed required.
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