You are testing a new car using crash test dummies. Consider two ways to slow the car from $90$ km$/$h $(56$ mi$/$h$)$ to a complete stop:

$($i$)$ You let the car slam into a wall, bringing it to a sudden stop.

$($ii$)$ You let the car plow into a giant tub of gelatin so that it comes to a gradual halt.

In which case is there a greater impulse of the net force on the car?

You are testing a new car using crash test dummies. Consider two ways to slow the car from $90$ km$/$h $(56$ mi$/$h$)$ to a complete stop:

$($i$)$ You let the car slam into a wall, bringing it to a sudden stop.

$($ii$)$ You let the car plow into a giant tub of gelatin so that it comes to a gradual halt.

In which case is there a greater impulseof the net force on the car?

not enough information given to decide

case $($ii$)$

The impulse is the same in both cases.

case $($i$)$