a 3329lb car traveling initially a speeed of 40 mph CRV(estimated speed at time of impac, brakes had been applied) in an easterly direction crashes into the rear end of a 3430lbs CRV moving in the same direction at 0 mph. How far does the car hit move?
<<CRV moving in the same direction at 0 mph. How far does the car hit move? >>
How can you move and have direction at 0 mph?
You will need tire friction information to estimate how far the car(s) move. Does the rear-ended car have brakes applied?
To calculate how far the car moves after the impact, we can use the principle of conservation of momentum. The total momentum before the collision is equal to the total momentum after the collision.
Before the collision, we have two vehicles:
Car A (3329 lb) traveling at 40 mph (initial speed)
Car B (3430 lb) at rest (0 mph)
The momentum (p) of an object is calculated by multiplying its mass (m) by its velocity (v):
p = m * v
Let's calculate the initial momentum of Car A:
Initial momentum of Car A = (mass of Car A) * (initial velocity of Car A)
= 3329 lb * 40 mph
Since Car B is at rest, its initial momentum is zero.
Total initial momentum before the collision = momentum of Car A + momentum of Car B
Now, after the collision, the two cars stick together and move with a common final velocity. Let's denote this final velocity as V (in mph).
The total momentum after the collision is the sum of the individual momenta of the two cars:
Total final momentum after the collision = (mass of Car A + mass of Car B) * V
According to the principle of conservation of momentum, the initial and final momenta are equal:
Total initial momentum before the collision = Total final momentum after the collision
Now we can equate the two expressions for the total momentum to solve for V, the final velocity of the cars after the collision.
Once we have the final velocity (V), we can calculate the distance traveled by the car using the equation:
distance = (final velocity) * (time)
To find the time of the collision, we need additional information such as the deceleration rate (if any) or the distance between the two cars when the brakes were applied. Without this information, it's not possible to determine the exact distance the car hits moved.