The car takes 2.41 seconds to reach a velocity of 85 km/h
Explanation:
If the car is moving along a vertical cliff, it means that its motion is a free fall motion, which is a uniformly accelerated motion. Therefore, we can use the following suvat equation:
[tex]v=u+at[/tex]
where:
v is the final velocity
u is the initial velocity
[tex]a=g=9.8 m/s^2[/tex] is the acceleration of gravity
t is the time
For the car in this problem:
u = 0 is the initial velocity
[tex]v=85 km/h \cdot \frac{1000}{3600}=23.6 m/s[/tex] is the final velocity
Solving for t, we find the time the car needs to reach this velocity:
[tex]t=\frac{v-u}{a}=\frac{23.6-0}{9.8}=2.41 s[/tex]
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