All categories

3 years ago

Subject: Biomechanics

Mathematics

1 answer:

Savatey [412]3 years ago

8 0

Answer:

135.7 milliseconds

Step-by-step explanation:

The relationship between force, mass, and acceleration is ...

F = Ma . . . . . we use M for mass, so as not to confuse with m for meters

The relationship between acceleration, velocity, and time is ...

v = at

The fraction of the applied force that is in the horizontal direction is ...

2000N·cos(20°)

Solving for a and t, we get ...

a = F/M

t = v/a = v/(F/M) = Mv/F

t = (85 kg)(3 m/s)/(2000cos(20°) kg·m/s²) ≈ 0.1357 s

The sprinter took about 135.7 ms to push off.

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