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

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.
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Thu Hương 3 years 2021-08-06T17:24:05+00:00 1 Answers 78 views 0

Answers ( )

  1. Xavia
    0
    2021-08-06T17:25:54+00:00
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    Answer:

    1 second later the vehicle’s velocity will be:

    v(1)= 6\,\,\frac{m}{s} \\

    5 seconds later the vehicle’s velocity will be:

    v(5)=14\,\,\frac{m}{s}

    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\,\,\frac{m}{s}  and a=2\,\,\frac{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\,\,\frac{m}{s} \\v(5)=4+2\,(5)=14\,\,\frac{m}{s}

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