# physics

posted by .

A car and a motorcycle start from rest at the same time on a straight section of the road. However, the motorcycle starts 29.6 m behind the car. The car accelerates at a uniform rate of 3.9 m/s^2 while the motorcycle accelerates at a constant rate of 4.2 m/s^2. How much time elapses until the motorcycle overtakes the car?

• physics -

They travel the same time, and 29.6m different in distance.

dm=1/2 am t^2
dc=1/2 ac t^2

subtract the second equation from the first

dm-dc=1/2 (am-ac)t^2
29.6=1/2 (am-ac)t^2
solve for t.

• physics -

A car traveling at +7.8 m/s accelerates at the
rate of 0.65 m/s
2
for an interval of 1.6 s.
Find vf .

• physics -

14.04

## Similar Questions

1. ### physics

A motorcycle traveling 91.0 km/hr approaches a car traveling in the same direction at 83.0 km/hr. When the motorcycle is 52.0 m behind the car, the rider accelerates and passes the car 16.0 s later. What is the acceleration of the …
2. ### physics

A motorcycle traveling 91.0 km/hr approaches a car traveling in the same direction at 83.0 km/hr. When the motorcycle is 52.0 m behind the car, the rider accelerates and passes the car 16.0 s later. What is the acceleration of the …
3. ### Physics - URGENT

A car is speeding at constant velocity of 30ms-1 in an 80kmh-1 zone as it passes a stationary police motorcycle hiding. The motorcycle starts to accelerate at 5ms-2 at the same instant the car passes it and continues for 8 seconds. …
4. ### Physics - URGENT

A car is speeding at constant velocity of 30ms-1 in an 80kmh-1 zone as it passes a stationary police motorcycle hiding. The motorcycle starts to accelerate at 5ms-2 at the same instant the car passes it and continues for 8 seconds. …
5. ### physics

a car travelling at constant velocity passes a stationary motorcycle at a traffic light as the car overtakes the motorcycle,the motorcycle accelerates uniformly from rest for 10 sec the following displacement time graph represents …
6. ### Physics

A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 19.0m/s , and the distance between them is 52.0m . After t1 = …
7. ### Physics

A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 19.0m/s , and the distance between them is 52.0m . After t1 = …
8. ### physics

A motorcycle traveling 95.0 km/hr approaches a car traveling in the same direction at 85.0 km/hr. When the motorcycle is 55.0 m behind the car, the rider accelerates and passes the car 18.0 s later. What is the acceleration of the …
9. ### HCC

A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 19.5 m/s , and the distance between them is 57.0 m . After t1 …
10. ### physics

A car is moving down the road with a constant velocity of 20m/s. The car passes by a big billboard. There is a police officer ( motorcycle) at rest behind the billboard. It takes one second to start the motorcycle and start chasing …

More Similar Questions