Question

Merging onto the highway in his car, Jorge accelerates at 4.00 m/s^2.

If he starts at a speed of 10.0 m/s, how fast will he be going after 5.342 seconds?

Answer 1

31.4 m/s

Step-by-step explanation:

This question can be solved using a kinematic equation, since the car has a constant acceleration. First, let's define our given values:

`a = 4.00 m/s^2\\V_i = 10.0 m/s\\t = 5.342 s`

To find the final velocity after 5.342 seconds, we can use the equation:

`V_f = V_i + at`

Now, we simply plug in our given values to calculate the velocity:

`V_f = 10.0 m/s + (4.00 m/s^2)(5.342 s)\\V_f = 31.4 m/s`