Question

A vehicle moving with a uniform a acceleration of 2m/s and has a velocity of 4m/s at a certain time .

what is will its velocity be
a: 1s later
b: 5s later.
​

Answer 1

1 second later the vehicle's velocity will be:

`v(1)= 6\,\,(m)/(s) \\`

5 seconds later the vehicle's velocity will be:

`v(5)=14\,\,(m)/(s)`

Step-by-step explanation:

Recall the formula for the velocity of an object under constant accelerated motion (with acceleration "
`a`"):

`v(t)=v_0+a\,t`

Therefore, in this case
`v_0=4\,\,(m)/(s)` and
`a=2\,\,(m)/(s^2)`

so we can estimate the velocity of the vehicle at different times just by replacing the requested "t" in the expression:

`v(t)=v_0+a\,t\\v(t)=4+2\,\,t\\v(1)=4+2\,(1) = 6\,\,(m)/(s) \\v(5)=4+2\,(5)=14\,\,(m)/(s)`