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Dave is riding on a straight path. After 5 s, his speed is 3.0 m/s. After 7 s, his speed is 5.0 m/s. After 10 s, speed is 7.0 m/s. What was his acceleration from 5 s to 10 s?

1 Answer

Anish M. · Stefan V.

Mar 28, 2018

The acceleration is $0.8$ $0.8$ meters per second per second.

Explanation:

Acceleration is the rate of change of velocity.

His acceleration from $5 s$ $"5 s"$ to $10 s$ $"10 s"$ is the rate at which he changes from $3 m/s$ $"3 m/s"$ to $7 m/s$ $"7 m/s"$ .

The change in velocity $= 7 m/s - 3 m/s = 4 m/s$ $= "7 m/s" - "3 m/s" = "4 m/s"$

It changes by $4 m/s$ $"4 m/s"$ in $5$ $5$ seconds, so the rate at which it changes per second is

$\frac{4 m/s}{5 s} = {0.8 m/s}^{2}$ $"4 m/s"/"5 s" = "0.8 m/s"^2$

Hence the acceleration is $0.8$ $0.8$ meters per second per second.

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