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An object is moving north and experiencing an acceleration of 3 m/s 2 south. Whi

ID: 1430283 • Letter: A

Question

An object is moving north and experiencing an acceleration of 3 m/s2 south. Which of the following statements about it are true? Select all that apply.

Question 2 options:

If the object's initial velocity is less than 3 m/s, it will never be moving north.

The object's velocity will turn counterclockwise.

The object will slow to a stop and remain at rest indefinitely.

The object's velocity will change by 3 m/s every second.

Given enough time, the object will slow down, stop, and then speed up.

If the object's initial velocity is 12 m/s, after 3 seconds it will still be moving north.

If the object's initial velocity is less than 3 m/s, it will never be moving north.

The object's velocity will turn counterclockwise.

The object will slow to a stop and remain at rest indefinitely.

The object's velocity will change by 3 m/s every second.

Given enough time, the object will slow down, stop, and then speed up.

If the object's initial velocity is 12 m/s, after 3 seconds it will still be moving north.

Explanation / Answer

Only two statements are correct, which are:

-The object's velocity will change by 3 m/s every second

-Given enough time, the object will slow down, stop, and then speed up.

We would look at each one of them and try and resolve.

Statement 1: If the object's initial velocity is less than 3 m/s, it will never be moving north

This clearly is false, as no matter how small the velocity is, it will start moving in the north direction, however will suffer a deceleration

Statement 2: The object's velocity will turn counterclockwise.

The object doesnt suffer any force in the direction along east or west, hence the motion cannot be cirular. Hence, false

Statement 3: The object will slow to a stop and remain at rest indefinitely.

As the object is experiencing an acceleration along the south, it cannot stay at rest forever. False

Statement 4: The object's velocity will change by 3 m/s every second

As the acceleration is 3m/s, the object velocity will change by the amount every second, True

Statement 5: Given enough time, the object will slow down, stop, and then speed up.

As the initial velocity is along north, the body will slow down because of opposing force, come to a stop and then accelerate under the influence of the force. True

Statement 6: If the object's initial velocity is 12 m/s, after 3 seconds it will still be moving north

False, as the object starts off in the north direction itself.

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