# 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?

Mar 28, 2018

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

#### Explanation:

Acceleration is the rate of change of velocity.

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

The change in velocity $= \text{7 m/s" - "3 m/s" = "4 m/s}$

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

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

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