am08
- 43
- 0
[SOLVED] Acceleration problem
To save fuel, some truck drivers try to maintain a constant speed when possible. A truck traveling at 85.0 km/hr approaches a car stopped at the red light. When the truck is 84.6 meters from the car the light turns green and the car immediately begins to accelerate at 3.60 m/s2 to a final speed of 88.0 km/hr. How close does the truck come to the car assuming the truck does not slow down?
First off I converted 85km/hr to m/s ... Truck is traveling ~23.6m/s
Then I calculated that it would take the Truck ~3.58 s to reach the stopped car (84.5/23.6=3.58)
Now the truck is closest to the car when their velocities are equal to each other.. but I don't know where to go from there.
Any help would be appreciated.
To save fuel, some truck drivers try to maintain a constant speed when possible. A truck traveling at 85.0 km/hr approaches a car stopped at the red light. When the truck is 84.6 meters from the car the light turns green and the car immediately begins to accelerate at 3.60 m/s2 to a final speed of 88.0 km/hr. How close does the truck come to the car assuming the truck does not slow down?
First off I converted 85km/hr to m/s ... Truck is traveling ~23.6m/s
Then I calculated that it would take the Truck ~3.58 s to reach the stopped car (84.5/23.6=3.58)
Now the truck is closest to the car when their velocities are equal to each other.. but I don't know where to go from there.
Any help would be appreciated.