Which of the following statements are true regarding displacement, velocity, and acceleration for an object in 1-D motion?  (Choose all that apply)  Group of answer choicesIf an object is speeding up, then its acceleration has the same sign (positive or negative) as its velocity.If an object is speeding up, then the sign (positive or negative) of its acceleration is opposite to the sign of its velocity.If an object is slowing down, then the sign (positive or negative) of its acceleration is opposite to the sign of its velocity.If an object is slowing down, then its acceleration has the same sign (positive or negative) as its velocity.If an object is speeding up, then its displacement has the same sign (positive or negative) as its velocity.If an object is speeding up, then the sign (positive or negative) of its displacement is opposite to the sign of its velocity.If an object is slowing down, then its displacement has the same sign (positive or negative) as its average velocity.If an object is slowing down, then the sign (positive or negative) of its displacement is opposite to the sign of its average velocity.

A particle is moving on a straight line path with constant acceleration directed along the direction of instantaneous velocity. Which of the following statements are false about the motion of particle?AParticle may reverse the direction of motionBDistance covered is not equal to magnitude of displacementCThe magnitude of average velocity is less than average speedDAll of the above

In a two dimensional motion, instantaneous speed v0 is a positive constant. Then which of the following are necessarily true?a) the average velocity is not zero at any timeb) average acceleration must always vanishc) displacements in equal time intervals are equald) equal path lengths are traversed in equal intervals

Suppose that a car traveling in the  - x direction begins to slow down as it approaches a traffic light.Which statement concerning its acceleration in the x direction is correct?Group of answer choicesThere is not enough information to determine.Both its acceleration and its velocity are negative.Both its acceleration and its velocity are positive.Its acceleration is negative but its velocity is positive.Its acceleration is positive but its velocity is negative.

A stone is thrown downward from a cliff. Take "up" to be the positive direction. Which of the following statements is true about the stone?Select one:a.The velocity is positive, the acceleration is positive, and the speed is positive.b.The velocity is positive, the acceleration is negative, and the speed is positive.c.The velocity is negative, the acceleration is negative, and the speed is positive.d.The velocity is negative, the acceleration is negative, and the speed is negative.

Which of the following situations is true and possible?a. If the velocity of a body is zero, then the acceleration can be non-zerob. A body moving at a constant velocity can have accelerationc. The magnitude of distance and displacement are equal in a circular motiond. All of the above