You are crouched at the "start" line. Bang! The race begins and 7 seconds later you end up 60 yards down the track. What was your "acceleration?"

a = 7.35 ft / s²

Explanation:

For this exercise we must use the kinematics relations

        x = v₀ t + ½ a t²

as the runner leaves the starting line his initial velocity is zero

        x = ½ a t²

        a =

let's reduce the distance to foot

        x = 60 yd (3ft / 1yd) = 180 ft

let's calculate

         a = 2 180 / 7²

         a = 7.35 ft / s²

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.

well clustered together.

points close on a scatter diagram