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?

Respuesta :

Acceleration= change
-----------
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, [tex]0.8m/s^2[/tex]

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 :

[tex]a=\frac{\Delta V}{\Delta t}\\\\a=\frac{V_{final}-V_{initial}}{t_{final}-t_{initial}}[/tex]

where,

a = acceleration

[tex]\Delta V[/tex] = change in velocity

[tex]\Delta t[/tex] = 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

[tex]a=\frac{V_{final}-V_{initial}}{t_{final}-t_{initial}}[/tex]

[tex]a=\frac{7m/s-3m/s}{10s-5s}=0.8m/s^2[/tex]

Therefore, his acceleration from 5 s to 10 s will be, [tex]0.8m/s^2[/tex]