Question

An object in a simulation accelerates from rest to a speed of 4 meters per second in 2 seconds. It then accelerates linearly for the next 3 seconds until it reaches 10 meters per second. The object remains at that speed (acceleration = 0) for 3 seconds and then de-accelerates linearly until it comes to rest 2 seconds later. Which graph demonstrates the speed of the object for those 10 seconds?

Answer 1

Since you did not give the choices for which graph it represent, i will just describe what will it look like. for time 0 - 2 s , it will go diagonally upward until it reach at 4 m/s in the y axis. then from 2 - 5 sit will go diagonally upward until it reach at 10 m/s in the y axis. then from 5 - 8 s will be horizontal. then it will go diagonally downwards 

Answer 2

Answer:

It is given that:

• An object in a simulation accelerates from rest to a speed of 4 meters per second in 2 seconds.

It means that the graph increases continuously from rest to 10 meters in  2 seconds. so the graph will be a straight line from t=0 to t=2 and reach speed=4.

• It then accelerates linearly for the next 3 seconds until it reaches 10 meters per second.

i.e. again we will get a straight line joining at t=2 speed=4 and at t=5 speed=10

• The object remains at that speed (acceleration = 0) for 3 seconds and then de-accelerates linearly until it comes to rest 2 seconds later.

i.e. the speed is then constant between 5 seconds to 8 seconds i.e. we get a horizontal line at speed=10 meters per second and then we will get a straight line decreasing linearly and reaching speed=0 from t=8 seconds to t=10 seconds.