Determine if the following statements are true or false. Remember that for a sta

Question

Determine if the following statements are true or false. Remember that for a statement to be true it must be true in all cases. If the velocity of an object is zero, then the acceleration of an object must also be zero. If the initial speed of an object is zero, then the initial position of the object must be the origin. If the initial velocity of an object is zero, then the initial speed of the object must be zero. The acceleration of an object can be non-zero when the speed of the object is constant. If the average velocity of an object is zero, then the average speed of the object must also be zero. Determine if the following statements are true or false. Remember that for a statement to be true it must be true in all cases. The average speed of an object is always equal to the magnitude of the average velocity of the object. The speed of an object with a positive acceleration is always increasing. If the acceleration of an object is zero, then the average speed must be equal to the magnitude of the average velocity for the object. The velocity of an object can reverse direction when the acceleration of the object is constant. The speed of an object can never be negative.

Explanation / Answer

1)True

we know that, a = dv/dt ; v = 0 so a = 0

2)False

Its not necessary that if intial speed is zero then the object is at origin, it depends on situations.

3)False

Velocity is a vector while speed is a scalar, the former may have its components that may sum to zero but the later is a scalar and will not be futher resolved into components.

4)False

Constant speed implies, constant velocity and hence the constant zero acceleration

5)False

Avg velocity is the total displacement by total time while speed is the total distance travelled over total time.

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