# Acceleration, distance, and velocity of Car A and Car B

Car A accelerates from rest with 2m/sec^2 and Car B is moving with a constant velocity of 25 m/s. at the instant t=0.

Determine

(a) distance between the two cars at t=5 sec.

(b) time for the cars to arrive at the same location.

(c) distance of car A from the origin when they arrive at the same location.

(d) speed of car A at the instant they arrive at same location.

(e) acceleration needed for car B to come to a stop over a distance of 100 meters.

https://brainmass.com/physics/velocity/acceleration-distance-velocity-car-car-8738

#### Solution Preview

a.)

velocity of car A = va = 0 + 2*t = 2t (where t is time)

velocity of car B = vb = 25 m/s

sa(t) = ut + (1/2)at^2

=> sa(t) = 0 + (1/2)*2*t^2 = t^2

sb(t) = ...

#### Solution Summary

The problems are solved with good explanations and detail workings.

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