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Seeing a police officer ahead and not being sure of the speed limit, a driver slows from 65 mi/hr to 55 mi/hr in 4.0 seconds, trying not to make it obvious. What is the car's acceleration?

A 2.5 m/s2

B -2.5 m/s2

C 16 m/s2

D - 16 m/s2

Respuesta :

Answer:

[tex]-1.13 m/s^2[/tex]

Explanation:

The acceleration of the car is given by:

[tex]a=\frac{v-u}{t}[/tex]

where

v is the  final velocity

u is the initial velocity

t is the time

Here we have to convert the velocities from mi/hr to m/s. Keeping in mind that

1 mi = 1609 m

1 h = 3600 s

We get:

[tex]u = 65 mi/h \cdot \frac{1609}{3600}=29.1 m/s\\v = 55 mi/h \cdot \frac{1609}{3600}=24.6 m/s[/tex]

While the time interval is

t = 4.0 s

Substituting,

[tex]a=\frac{24.6 - 29.1}{4.0}=-1.13 m/s^2[/tex]