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1 November, 20:22

you drive in a straight line at 20.0m/s for 10.0 min, then 30.0m/s for another 10.0 min. Find the average speed.

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  1. 2 November, 00:22
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    Answer is 25 m/s.

    Explanation;

    Step 1 : Convert the units into same unit.

    Here speeds are given in m/s while the time is in minutes. So, let's convert minutes into seconds.

    1 min = 60 s

    Then,

    10 minutes = 10 x 60 s = 600 s

    Step 2 : Find the total distance that you have travelled.

    To find that you need to first find distances separately.

    We know the formula, s = vt, where s is the distance, v is the speed or velocity and t is the time.

    First you have travelled 10 minutes (600 s) at 20.0 m/s.

    Then distance, s = 20.0 m/s x 600 s = 12 000 m

    Secondly you have travelled again 10 minutes at 30.0 m/s

    Then distance = 30.0 m/s x 600 s = 18 000 m

    Then, the total distance = 12 000 m + 18 000 m = 30 000 m

    Step 3 : Find the total time taken to travel.

    Total time = 600 s + 600 s = 1200 s

    Step 4 : Calculate the average speed.

    Average speed = total distance / total time

    = 30 000 m / 1200 s

    = 25 m/s
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