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a car traveling initially at 5m/s accelerates at the rate of 1m/s squared dor 4s what ia its velocity at the end of the acceleration

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Step-by-step explanation:

the standard unit used here is 1 second.

constant acceleration creates an arithmetic sequence of speeds. in this case, updated every second by a constant term.

that constant term (d) is in our case here 1m/s, which is added every second (hence the 1m/s² for the acceleration).

so,

a0 (initial speed) = 5 m/s

a1 (after 1 second) = 5 + 1 = 6 m/s

a2 (after 2 seconds) = a2 + 1 = a1 + 1 + 1 = 5 +2 = 7 m/s

...

and we see

an = a0 + n×d

therefore the speed (or velocity) after 4 seconds of that constant acceleration is

a4 = a0 + 4×d = 5 + 4×1 = 5 + 4 = 9 m/s

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