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An object starts moving from rest and attains a final velocity of 120 m/s. This process took 2 minutes. What is the acceleration of the object?

User Shonna
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Final answer:

The acceleration of an object that starts from rest and reaches a velocity of 120 m/s in 2 minutes is 1 m/s².

Step-by-step explanation:

The acceleration of an object is defined as the rate of change of velocity. To calculate the acceleration of the object in the question, which starts from rest and attains a final velocity of 120 m/s in 2 minutes, we can use the formula:

\[a = \frac{\Delta v}{\Delta t}\]

where:

Since the object starts from rest, the initial velocity (\(v_i\)) is 0 m/s, and the final velocity (\(v_f\)) is 120 m/s. The time taken (\(\Delta t\)) is 2 minutes, which need to be converted into seconds to match the units of velocity. Therefore, \(\Delta t\) becomes 120 seconds.

The acceleration can now be calculated as:

\[a = \frac{120\ m/s - 0\ m/s}{120\ s}\]

\[a = 1\ m/s^2\]

So, the acceleration of the object is 1 m/s2.

User Asaf Magen
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