True or False 1. When the average velocity of a particle is zero, its averagespe

Question

True or False
1. When the average velocity of a particle is zero, its averagespeed is also equal to zero.
2. The velocity of an object can reverse direction when itsacceleration is constant.
3. When the acceleration of a particle is zero, its average speedis equal to the magnitude of its average velocity.
4. The acceleration of a particle can be non-zero when its speed isconstant.
5. The speed of a particle can never be negative.
6. The speed of a particle with a positive acceleration is alwaysincreasing.
7. The average speed of a particle is equal to the magnitude of itsaverage velocity.

Explanation / Answer

1 & 7 False - an object thrown straight upwardreturns to earth with the same speed with which it wasthrown.                       So the average velocity is zero but not its average speed. 2 True -   using the same example theacceleration is always downwards but the velocity reverses                direction at the top of its trajectory. 3 True - the particle cannot change direction ifits acceleration is zero and the velocity can be                represented by its magnitude (in the direction given) and speed isthe magnitude of the velocity 4 False - an object in uniform circular motion has constantspeed but undergoes centripetal acceleration 5 True - if a particle moves some distance s in time t, s / t is always positive if no direction             is assigned to motion - magnitude and direction are vectorproperties 6 False - if you assign the postive direction as downwards andthrow a particle upwards then              the acceleration is positive while the speed of the particledecreases

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