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

Answer:

$a= \frac{5.8 \frac{m}{s}}{0.9 s}= 6.44 \frac{m}{s^2}$

And if we use two significant figures we have this $a \approx 6.5 \frac{m}{s^2}$

Step-by-step explanation:

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

$a = \frac{\Delta v}{\Delta t}$

Or equivalently:

$a= \frac{v_f -v_i}{t_f -t_i}$

From the info given we have this:

$\Delta v = v_f -v_i = 5.8 \frac{m}{s}$

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

And if we replace in the formula we got:

$a= \frac{5.8 \frac{m}{s}}{0.9 s}= 6.44 \frac{m}{s^2}$

And if we use two significant figures we have this $a \approx 6.5 \frac{m}{s^2}$