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escribing velocity changes: In each of the following situations you will be aske

ID: 1882760 • Letter: E

Question

escribing velocity changes: In each of the following situations you will be asked to reter to the mathematical definitions and the concepts associated with the number line. Note that being more positive is the same as being less negative and so on. (a) Suppose an object undergoes a change in velocity from +1 m/s to +4 m/s. Describe this motion in natural (but precise) language. Is its velocity becoming more positive or less positive? What is meant by more positive? Less positive? Is the acceleration positive or negative? (b) Suppose an object undergoes a change in velocity from-4 m/s to -1 m/s. Describe this motion in natural language. Is its velocity becoming more positive or less positive? Is the acceleration positive or negative? (c) Suppose an object is turning around so that it undergoes a smooth change in velocity from 2 m/s to -2 m/s Describe this motion in natural language. Is its velocity becoming more positive or less positive than it was before? Is it undergoing an acceleration while it is turning around? Is the acceleration positive or negative? (d) What does it mean to say that an object undergoes a deceleration? Can this term be used without ambiguity?

Explanation / Answer

a)

the velocity of the object has increased. that means the object is accelerating or speeding up.

the velocity is becoming more positive. more positive means the the magnitude of velocity is increasing in positive direction of motion. less positive means the magnitude of velocity is decreasing in positive direction of motion.

since the final velocity is greater than the initial velocity , hence the acceleration is positive.

b)

the velocity of the object has decreased. that means the object is deaccelerating or slowing down.

the velocity is becoming more positive. more positive means the the magnitude of velocity is increasing in positive direction of motion. less positive means the magnitude of velocity is decreasing in positive direction of motion.

since the final velocity is greater than the initial velocity , hence the acceleration is positive.

c)

the velocity of the object has decreased. that means the object is deaccelerating or slowing down

thevelocity is becoming less positive.

yes it is undergoing an acceleration since the velocity has changed.

the acceleration is negative because the final velocity is smaller as compared to initial velocity.

d) object undergoes deacceleration when the final velocity of the object is smaller as compared to the initial velocity.