Question

Acceleration is defined as a=Δv/Δt .Use this formmula to find the acceleration of a cart on an inclined plane that gains 5.8m/s each 0.90s?

In the book acceleration is defined as a=Δv/Δt . Use this formmula to find the acceleration of a cart on an inclined plane that gains 5.8m/s each 0.90s .

Express your answer to two significant figures and include the appropriate units.

Answer 1

`a= (5.8 (m)/(s))/(0.9 s)= 6.44 (m)/(s^2)`

And if we use two significant figures we have this
`a \approx 6.5 (m)/(s^2)`

Explanation:

For this case we know that the acceleration is defined by this formula:

`a = (\Delta v)/(\Delta t)`

Or equivalently:

`a= (v_f -v_i)/(t_f -t_i)`

From the info given we have this:

`\Delta v = v_f -v_i = 5.8 (m)/(s)`

`\Delta t = t_f -t_i = 0.9 s`

And if we replace in the formula we got:

`a= (5.8 (m)/(s))/(0.9 s)= 6.44 (m)/(s^2)`

And if we use two significant figures we have this
`a \approx 6.5 (m)/(s^2)`