A bus is moving at a speed of 60 km/h. How far from a bus stop should the bus start to slow down so that the passengers feel comfortable (a comfortable acceleration is 1.2 m/s2)?

Respuesta :

Answer:

116.2 m

Explanation:

We can solve the problem by using the following SUVAT equation:

[tex]v^2-u^2=2ad[/tex]

where

v is the final velocity

u is the initial velocity

a is the acceleration

d is the stopping distance

In this problem:

v = 0 (the bus comes to a stop)

[tex]u=60 km/h \cdot \frac{1000}{3600}=16.7 m/s[/tex] is the initial velocity

[tex]a=-1.2 m/s^2[/tex] is the deceleration

d is the stopping distance

Solving for d,

[tex]d=\frac{v^2-u^2}{2a}=\frac{0-(16.7)^2}{2(-1.2)}=116.2 m[/tex]

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