# Determining Velocity, Acceleration and Distance: Car Example

See attached file.

Please provide a stepwise solution.

Two cars are racing. Car A starts L=15m ahead of Car B. Car B starts with an initial velocity of v_bo=5m/s, Car A starts from rest. Car A accelerates with a_A=2m/s2, and Car B accelerates with a_B=1.5m/s2.

a) Give the equations of motion for each car, assuming that x = 0 refers to the starting point of Car B.

x_A(t) = __________

x_B(t) = __________

b) What are the positions and speeds of each car at t=2s?

x_A(t=2) = __________

x_B(t=2) = __________

v_A(t=2) = __________

v_B(t=2) = __________

c) Does Car B ever catch up with Car A? If so, when and where?

x_catch-up = _________

t_catch-up = _________

d) If they race to a point of distance D from the origin, and it takes 20 seconds for the winner to get to D, who wins the race, and what is D?

winner = _________

D = _________

https://brainmass.com/physics/velocity/determining-velocity-acceleration-and-distance-car-example-364136

#### Solution Summary

Solution provides steps necessary to determine velocity, acceleration and distance.