Question on velocity at T1 and T2 problem

[njt84572]

Homework Statement

The acceleration of a bus is given by a(t)=at where = 1.23 is a constant.
If the bus's velocity at time = 1.05 is 4.90 , what is its velocity at time = 2.01 ?
If the bus's position at time = 1.05 is 6.09 , what is its position at time = 2.01 ?

Homework Equations

a=v2-v1/t2-t1

The Attempt at a Solution

Tried to use that equation to solve for V2 and got 6.08 as my answer, however masteringphysics said I was incorrect

 

[Doc Al]

The acceleration of a bus is given by a(t)=at where = 1.23 is a constant.

Something got left out in your cut and paste. Did you mean that a(t) = 1.23t ?

a=v2-v1/t2-t1

That defines average acceleration. Not useful here. (Unless I have guessed wrong about your problem.)

Instead, given the acceleration function how can you calculate a velocity function? Think calculus!