An object originally at rest is uniformly accelerated to a speed of 8.0 meters per second in 2.0 seconds. What is the acceleration of the object?

Question

\large acceleration=\frac{v_{final}-v_{initial}}{time}

a
<p>4.0 m/s²</p>
b
<p>0.25 m/s²</p>
c
<p>16 m/s²</p>
d
<p>10. m/s²</p>

Answer 1

To find the acceleration of the object, we can use the formula:

\[acceleration = \frac{v_{final} - v_{initial}}{time}\]

Given that the initial velocity (\(v_{initial}\)) is 0 m/s, the final velocity (\(v_{final}\)) is 8 m/s, and the time (\(time\)) is 2 seconds, we can substitute these values into the formula:

\[acceleration = \frac{8 \, \text{m/s} - 0 \, \text{m/s}}{2 \, \text{s}}\]

Simplifying this expression, we get:

\[acceleration = \frac{8 \, \text{m/s}}{2 \, \text{s}} = 4 \, \text{m/s}^2\]

Therefore, the acceleration of the object is 4.0 m/s^2.

So, the correct option is a) 4.0 m/s^2.