You are racing your dog next to a football field. you run from the 10 yard line to the 50 yard line, then turn around and run back to the 30 yard line. what is your distance? what is your displacement?

60 m,20 m

Explanation:

Given

You ran 10 yard line to 50 yard line therefore total distance traveled is 40 yard

Finally you turned around and came back to 30 yard line

Therefore total distance is 40+20=60 m(From 50 yard line to 30 yard line it is 20 yards)

Displacement=30-10=20 yards

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.