Question

At car (1140-kg)traveling at 24.8 m/s and truck (12600-kg) have a head-on collision and then stick together. What is their final common velocity (m/s)? (assume the car is going in the positive direction)
What is the cars' change in momentum in the above question (kg m/s)?

When I calculate the velocity of the truck, I get 22.9 m/s which is correct.
The formula that I am using to find the common velocity is
pi= (velocity car)(mass car) - (velocity truck)(mass truck)

I then take the pi calculated and use it to find the final velocity

vf = pi/(mc+mt)

I get close to the right answer (-4.36) but should have been -4.42.

For the last question. I believe that I am using the wrong formula.
mc*(vf-vc)
The correct answer was -31100 but I get nowhere near this number.

Am I missing some key steps here?

Answer 1

You did not post the truck's initial speed, so I cannot check you. Is that really the mass of the truck?

Answer 2

Ohh sorry, the truck is going (24.8 km/hr) and the car is going 76.042 m/s

Answer 3

And yes, that is the right mass.