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1. Problem

The kicker stands 50 m from the goalpost that is 3 m high. She kicks with an initial velocity of 24.5 m/s. She just makes the goal height-wise, but did the ball travel far enough? She kicked at an angle of 35.28 degrees.

2. Homework Equations

S = (1/2)at^2 + V0t + S0

S =V0xt (when V0x is constant)

3. What I Did

24.5cos(35.28) = V0x = 20

24.5sin(35.28) = V0y = 14.15

-5t^2 + 14.15t + 0 = 3

t = 2.6

20*2.6 = 52 m

2 meters to spare

The answer is 1.12 m to spare. Any help would be appreciated! Thanks.

The kicker stands 50 m from the goalpost that is 3 m high. She kicks with an initial velocity of 24.5 m/s. She just makes the goal height-wise, but did the ball travel far enough? She kicked at an angle of 35.28 degrees.

2. Homework Equations

S = (1/2)at^2 + V0t + S0

S =V0xt (when V0x is constant)

3. What I Did

24.5cos(35.28) = V0x = 20

24.5sin(35.28) = V0y = 14.15

-5t^2 + 14.15t + 0 = 3

t = 2.6

20*2.6 = 52 m

2 meters to spare

The answer is 1.12 m to spare. Any help would be appreciated! Thanks.

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