Suppose you are walking home from school. The distance from school to your is home is five kilometers. On foot, you can get home in 25 minutes. However, if you rode a bicycle, you could get home in 10 minutes.

a) 3.33m/s b) 8.33m/s c) 15minutes faster

Explanation:

The question is incomplete. This is the complete question;

Suppose you are walking home after school. the distance from school to your home is five kilometers. on foot, you can get home in 25 minutes. however, if you rode a bicycle, you could get home in 10 minutes. what is your average speed while walking? what is your average speed while bicycling? how much faster you travel on your bicycle?

Speed is the defined as Distance covered by a body in a specified time. Mathematically;

Speed = Distance/Time

- If the distance from school to home is 5km and time taken to get home on foot is 25minutes, average speed while walking will be calculated as;

Average speed while walking = distance covered on foot/time taken on foot

Average speed while walking = 5km/25mins = 0.2km/min

Covering to m/s gives;

(0.2×1000)m/(1×60)secs

= (200/60)m/s

= 3.33m/s

- average speed while bicycling = distance covered on bicycle/time taken on bicycle

Distance from school to home will not change i.e 5km = 5000m

Time taken on bicycle home = 10mins = 10×60 = 600seconds

average speed while bicycling = 5000/600

average speed while bicycling = 8.33m/s

- to calculate how much faster traveled by bicycle, we will subtract time taken on foot from time taken by bicycle to have;

25min - 10mins

= 15minutes

This means he travels 15minutes faster on bicycle compare to foot

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.