A car was traveling at a certain speed. It then accelerates for 5.0 s with an acceleration of 1.6 m/s2, and reaches a speed of 20 m/s. What was its initial speed?
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Answer:

12m/s

Explanation:

To find the initial speed of the car, we need to find the how much it accelerated/increased in speed and then subtract it from its final speed.

We can do this by using the equation: [tex]a=\frac{\Delta v}{t}[/tex]

Which we can rearrange to find change in velocity: [tex]\Delta v=at[/tex]

The given acceleration is 1.6m/s^2, and the time is 5s. Therefore the car's change in speed was [tex]\Delta v = (1.6)(5)\\\Delta v = 8m/s[/tex]

Since the final speed was 20m/s, we can now simply subtract the change in speed to find the initial speed:

20 - 8 = 12

The initial speed of the car was 12m/s.

Hope this helped!