Car vs Truck!

The distance traveled by a body is directly proportional to its momentum. More the value of momentum more is the distance traveled .

Let the mass of the truck be $M$ and mass of the car be $m$ such that $M > m$ . It is given that both the vehicles travel with same velocity, let us say $v$ .

$\text{Momentum of the truck : }{\color{#3D99F6}P_1} = M \times v = \color{#3D99F6}Mv$

$\text{Momentum of the car : }{\color{#E81990}P_1} = m \times v = \color{#E81990}mv$

Now, ${\color{#3D99F6}P_1} > {\color{#E81990}P_1} \text{ since } {\color{#3D99F6}Mv} > {\color{#E81990}mv}$ . So the truck will have larger momentum than the car.

$\color{#20A900} \therefore \text{The truck will travel for a longer distance before coming to rest.}$

$F$ is the resultant force, $m$ is the mass and $a$ is the acceleration. Using Newton's Second Law, we have that $F = ma$ . Since $F_{car} = F_{truck}$ , and $m_{car} < m_{truck}$ , we have that $a_{car} > a_{truck}$ . Therefore, the truck will travel for a larger distance.

The truck will travel a larger distance than the car because the truck is heavier.

As the truck has more mass than the car but the braking forces are identical. The braking force of the truck will have to take more time to stop it.

A heavier mass has more inertia so the truck will have a larger tendency to keep moving and hence will travel a larger distance than the car.