When cyclist squeezes her brake lever, she can stop with an acceleration of -3.0 m/s^2 how far will her bike travel while coming

Question

docker41 [41]

3 years ago

13

When cyclist squeezes her brake lever, she can stop with an acceleration of -3.0 m/s^2 how far will her bike travel while coming

to a complete stop if her initial speed was 11 m/s

Mathematics

2 answers:

kaheart [24] · Answer 1 · 2022-04-08T01:54:30+03:00

kaheart [24]3 years ago

8 0

Answer:

20.2 m

Step-by-step explanation:

APEX

Blizzard [7] · Answer 2 · 2022-04-08T00:12:44+03:00

We shall use the formula
v² = u² + 2as
where
v = final speed. v = 0 because the cyclist comes to a complete stop.
u = initial speed. u = 11 m/s, given
a = acceleration. a = -3.0 m/s², given
s = distance traveled, m.

Therefore
0 = 11² + 2(-3.0)*s
0 = 121 - 6s

That is,
6s = 121
s = 121/6 = 20.167 m

Answer: 20.2 m (nearest tenth)