If a sprinter has an average acceleration of 9.5 m/s2, how long does it take for the person to go from rest to 10 m/s (round to

Question

4 years ago

5

the tenths place)

1 answer:

Step2247 [10] · Answer 1 · 2021-12-21T12:27:31+03:00

The sprinter takes 1.1 s to accelerate from rest to 10 m/s

Explanation:

The motion of the sprinter is a uniformly accelerated motion (constant acceleration), so we can use the following suvat equation:

$v=u+at$

where:

v is the final velocity

u is the initial velocity

a is the acceleration

t is the time taken for the velocity to change from u to v:

For the sprinter in this problem we have:

u = 0 (he starts from rest)

v = 10 m/s

$a=9.5 m/s^2$

Solving for t, we find the time he takes to reach 10 m/s:

$t=\frac{v-u}{a}=\frac{10-0}{9.5}=1.1 s$

Learn more about acceleration:

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