Application of Calc :( (1 Viewer)

[JMill]

I am confused, if there is a Q where they give a velocity formula (eg: V= 1/2t + sin(1/2t)) and they ask you to find the total distance travelled (say between t=0 and t=2), given that V is always > 0, can you get this by finding the area under the Velocity graph between 0 and 2 or does this not work?

 

[shaon0]

Integrate V=1/2t + sin(0.5t) to find displacement, then substitute t-0 and t=2 into the displacement equation you found.

 

[alez]

Yeah, it should work

 

[Timothy.Siu]

I am confused, if there is a Q where they give a velocity formula (eg: V= 1/2t + sin(1/2t)) and they ask you to find the total distance travelled (say between t=0 and t=2), given that V is always > 0, can you get this by finding the area under the Velocity graph between 0 and 2 or does this not work?

it should work as long as it doesn't switch from negative to positive