Calculating the force during a collision.

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To calculate the force during the collision between the car and the 4WD, the given accelerations of 114.9 m/s² for the car and 43.9 m/s² for the 4WD can be used with the formula F = ma, where the masses are 105 kg for the car driver and 60 kg for the 4WD driver. The distances that the vehicles crumpled, 54 cm for the car and 1.12 m for the 4WD, are relevant for understanding the impact dynamics and can help in estimating the forces over distance for a Force vs. distance graph. However, since the accelerations are already provided, the distances are not necessary for calculating the immediate forces on the drivers. The primary focus should remain on applying F = ma to determine the forces experienced during the collision. Understanding the crumple distances can enhance the analysis but is secondary to the force calculations.
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Homework Statement



Okay, there was a side on collision between a car and a 4WD, the 4WD crashed into the side of the car. The accleration experienced by each driver has been given: Car:114.9 m/s2, 4WD : 43.9 m/s2. The masses have been give: Driver of Car: 105kg, Driver of 4WD: 60 kg.

The thing that confuses me is that the distances that the vehicles crumpled has also been given, it is stated that it is relevant, but i can't see how: Car side: 54cm. 4WD bonnet: 1.12m.

Do i just use the F = ma to find the force during collision, or do i need to use the distances.

By the way the reason i need this is to draw a Force vs. distace graph, so the distance might be relevant.


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The Attempt at a Solution

 
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If this were a real problem then how the vehicles crushed would be very important. You would use that to estimate the accelerations. But since the accelerations are given, then you can use the F=ma to find forces on the drivers.
 

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