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, his speed was 7.0 m/s. What was his acceleration from 5 s to 10 s?
Acceleration= change
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Time
The change in velocity is 4 m/s b/c 7-3=4.
The time taken is 5 s b/c 10-5 = 5.
So its 4/5 which is
0.8 m/s^2.
You're welcome.
Answer : His acceleration from 5 s to 10 s will be, \(0.8m/s^2\)
Solution : Given,
Initial velocity = 3 m/s
Final velocity = 7 m/s
Initial time = 5 s
Final time = 10 s
Acceleration : Acceleration is defined as the rate of change of velocity with respect to the time taken.
Formula used :
\(a=\frac{\Delta V}{\Delta t}\\\\a=\frac{V_{final}-V_{initial}}{t_{final}-t_{initial}}\)
where,
a = acceleration
\(\Delta V\) = change in velocity
\(\Delta t\) = change in time
Now we have to calculate the acceleration from 5 s to 10 s :
Put all the given values in the above formula, we get
\(a=\frac{V_{final}-V_{initial}}{t_{final}-t_{initial}}\)
\(a=\frac{7m/s-3m/s}{10s-5s}=0.8m/s^2\)
Therefore, his acceleration from 5 s to 10 s will be, \(0.8m/s^2\)