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horrorfan [7]
3 years ago
10

How far can a person run in 15 seconds if she runs at an average speed of 160 cm/s? State your answer in meters.

Physics
1 answer:
uysha [10]3 years ago
8 0

Answer: distance = 24 meters

Explanation:

speed = distance / time

distance = speed x time

speed = 160 cm/s = 1.6 m /s     [ 100 cm = 1 m, 160 cm = 1.6 m ]

time = 15 s

distance = 1.6 m/s x 15 s = 24 m

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Explanation:

We can solve this problem with the following equations:

x=V_{o} cos \theta t (1)

y-y_{o}=V_{o} sin \theta t-\frac{1}{2}gt^{2} (2)

Where:

x is the horizontal distance between the cannon and the ball

V_{o}=23 m/s is the cannonball initial velocity

\theta=0\° since the cannonball was shoot horizontally

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y=0 is the final height of the cannonball

y_{o}=1.96 m is the initial height of the cannonball

g=9.8 m/s^{2} is the acceleration due gravity

Isolating t from (2):

t=\sqrt{-\frac{2(y-y_{o})}{g}} (3)

t=\sqrt{-\frac{2(0 m-1.96 m)}{9.8 m/s^{2}}} (4)

t=0.63 s (5)

Substituting (5) in (1):

x=(23 m/s) cos(0\°) 0.63 s (6)

Finally:

x=14.49 m

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