Guide To Archery

Shot Rest

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A shot-putter accelerates a 7.3kg shot from rest to 17m/s. If this motion takes 1.3s , what's average power?

First let us state what we know:

Initial Velocity = 0m/s
Final Velocity = 17m/s
Time = 1.3s
Distance = ?
Acceleration = ?

Let us solve for the acceleration of the ball first:

v = vo + at
17 = 0 + a(1.3)
1.3a = 17
a = 13.07692308
a ≈ 13.1m/s²

Now let us solve for the distance traveled by the ball:

x = vo(t) + .5at²
x = 0 + .5(13.1)(1.3²)
x = 11.05m
x ≈ 11.1m

Now let us solve for the average power:

P = W / t
P = Fd / t
P = [(m)(a)(d)] / t
P = [(7.3)(13.1)(11.1)] / 1.3
P = 1054.85 / 1.3
P = 811.4230769
P ≈ 811.4 Watts

Hope that helped :-]

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A shot-putter accelerates a 7.3kg shot from rest to 17m/s. If this motion takes 1.3s , what's average power?

First let us state what we know:

Initial Velocity = 0m/s
Final Velocity = 17m/s
Time = 1.3s
Distance = ?
Acceleration = ?

Let us solve for the acceleration of the ball first:

v = vo + at
17 = 0 + a(1.3)
1.3a = 17
a = 13.07692308
a ≈ 13.1m/s²

Now let us solve for the distance traveled by the ball:

x = vo(t) + .5at²
x = 0 + .5(13.1)(1.3²)
x = 11.05m
x ≈ 11.1m

Now let us solve for the average power:

P = W / t
P = Fd / t
P = [(m)(a)(d)] / t
P = [(7.3)(13.1)(11.1)] / 1.3
P = 1054.85 / 1.3
P = 811.4230769
P ≈ 811.4 Watts

Hope that helped :-]

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