Two cars on a straight road at time zero are beside each other. the first car, traveling at speed 30 m/s, is passing the second car, which is traveling at 24 m/s. seeing a cow on the road ahead, the driver of each car starts to slow down at 6.0 m/s^2. find the expression of the velocity of the second car.

Question

Physics

Harper Benton

22 February, 00:22

Two cars on a straight road at time zero are beside each other. the first car, traveling at speed 30 m/s, is passing the second car, which is traveling at 24 m/s. seeing a cow on the road ahead, the driver of each car starts to slow down at 6.0 m/s^2. find the expression of the velocity of the second car.

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Buckley · Answer 1

I believe this problem ask to express the velocity of the first car and second car in terms of t.

The general expression for the velocity is given as:

v = v0 + a t

where v is the velocity, v0 is the initial velocity, a is acceleration, t is time

a. velocity equation for the first car

v = 30 - 6 t

b. velocity equation for the second car

v = 24 - 6 t

We can see that the acceleration is negative because both cars are slowing down (deceleration).