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kap26
3 days ago
11

A motorcycle traveling at 36 m/s slams on the brakes to avoid an accident. The motorcycle skids 23m before stoping. What is the

motorcycle’s acceleration? How long does it take to come to a stop
Physics
1 answer:
ValentinkaMS [1.1K]3 days ago
8 0
Since the motorcycle was at a speed of 36 m/s prior to braking, that marks the initial velocity.
u = 36 {ms}^{ - 1}
The motorcycle skidded 23m before coming to a full stop, indicating that
s = 23m
As it has ceased motion, the final velocity is zero.

v = 0{ms}^{ - 1}
We can apply the 'suvat' formula relevant to linear motion.

{v}^{2} = {u}^{2} + 2as
Substituting the aforementioned values allows us to find,

{0}^{2} = {36}^{2} + 2a(23)


0 = 1296+ 46a
46a = - 1296
a = - 28.2 {ms}^{ - 2}


We can apply the formula
v = u + at
to calculate the time required for the motorcycle to stop.

0 = 36 + - 28.2t
- 36 = - 28.2t
t = 1.3s
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