Physical science

Guest:

:cry: A cyclist is traveling at an initial speed of 10.0 m/s. She accelerates at a rate of .500 m/s. What is her final speed after 9.0s?

Firstly, 0.5m/s is not a measure of acceleration (it is velocity, or speed). So I will change it to 0.5m/s ²
Next, I will assume that the ground is flat so gravity doesn't need to be considered.


Initially, when t=0
x = 0
x' = 10m/s
x" = 0.5m/s ²

Ongoing
x" = 0.5
x' = 0.5t + c substitute in t=0, x'=10 and you get c=10
x' = 0.5t + 10
x = (0.5t ²)/2 + 10t + k substitute in t=0, x=0 and you get k=0
x = 0.25t ² + 10t

Now, when t=9
x= (0.25 x 81) + (10 x 9)
x= you can finish it and don't forget the units.

and, you can stop crying now.