Assume that the stopping distance of a van varies directly with the square of the speed. a van traveling 40 miles per hour can stop in 70 feet. if the van is traveling 48 miles per hour, what is its stopping distance?

d = 100.8 ft

Explanation:

As we know that initial speed of the van is 40 miles then the stopping distance is given as 70 feet

here we know that

so here we have

now again if the speed is increased to 48 mph then let say the stopping distance is "d"

so we will have

now divide the above two equations

i'm just gonna leave this comment here, so i can get a challange done-

explanation:

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.