Car A and B start a race from rest. Car A starts with an acceleration of...
Car A and B start a race from rest. Car A starts with an acceleration of 100 m/s^2 and after 10s increases with acceleration to 200 m/s^2. Car B starts with an acceleration of 50 m/s^2 and after 5s increases the acceleration to 300 m/s^2.
1) What is the distance between cars after 1s
2) What is the velocity of each car after 1s
3) After 30 seconds which car is ahead?
Homework Answers
The initial velocity of the cars are zero, the following equations of motion were used,
(1) Distance travelled by the car A in 1 second is,
Distance travelled by the car B in 1 second is,
(2) Velocity of the car A in 1 second is,
Velocity of the car B in 1 second is,
(3) Since acceleration is different after the first 10 seconds, we have to calculate distances in two parts.
Distance travelled and velocity of car A in 10 seconds is,
Hence distance travelled by the car A in next 20 seconds is,
Hence the total distance travelled is 65000 m.
Distance travelled and velocity of car B in 10 seconds is,
Hence distance travelled by the car B in next 20 seconds is,
Hence the total distance travelled is 72500 m.
Therefore car B is ahead.
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