If a car is travelling at 35 MPH and rear ends another car, at what rate will the impact be?

That depends upon the speed of the car it hits. The relative impact speed in a rear-end collision (or "rate" as you call it) is the speed of the car behind MINUS the speed of the car in front.

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To determine the rate at which the car will impact another vehicle, we need to consider the concept of impulse, which relates to the change in momentum during the collision.

To calculate the impact rate, we should first convert the given speed from miles per hour (MPH) to feet per second (FPS), as the formula for momentum uses FPS. We know that 1 MPH is approximately equal to 1.47 FPS. So, 35 MPH is equal to 51.45 FPS (35 x 1.47 ≈ 51.45).

Now, assuming mass is constant and the collision is a rear-end collision, the impact will depend on the difference between the velocities of the two cars.

Let's assume that the car being rear-ended is stationary (velocity = 0 FPS). By subtracting the velocity of the stationary car from the velocity of the moving car, we can determine the relative velocity during the impact.

Impact rate or relative velocity = 51.45 FPS - 0 FPS = 51.45 FPS

Therefore, in this scenario, the impact rate of the car will be 51.45 feet per second.