A boy rolls down a hill on a skateboard. At time = 4 seconds, that boy has rolled 6 meters from the top of the hill. At time = 7 seconds, th

Question

A boy rolls down a hill on a skateboard. At time = 4 seconds, that boy has rolled 6 meters from the top of the hill. At time = 7 seconds, the boy has rolled to a distance of 30 meters. What is his average speed?

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Verity 6 months 2021-07-20T20:46:38+00:00 1 Answers 12 views 0

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    2021-07-20T20:47:50+00:00

    Answer:

    His average speed is 4.75 m/s

    Step-by-step explanation:

    Here, we are interested in calculating the average speed of the boy.

    At time t = 4 seconds, total distance traveled = 6 meters

    The average speed here is distance/time = 6/4 = 1.5 m/s

    Now at time 30 7 seconds , he has rolled 30 meters

    What this actually means is that for the next 3 seconds after the initial 4 seconds, he rolled a total distance of 30-6 = 24 meters. Hence, he rolled 24 meters in the next three seconds

    So mathematically, his average speed for the second part of the rolling is 24/3 = 8 meters per second

    Conclusively therefore , his average speed will be (1.5 + 8)/2 = 9.5/2 = 4.75 meters per second

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