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The quantity represented by is a function that changes over time (i.e., is not

constant).

Part A: The quantity represented by is a function that changes over time (i.e., is not constant).

True

False

Part B: The quantity represented by is a function of time (i.e., is not constant).

True

False

Part C: The quantity represented by is a function of time (i.e., is not constant).

True

False

Part D: The quantity represented by is a function of time (i.e., is not constant).

True

False

Part E: A particle moves with constant acceleration . The expression represents the particle’s velocity at what instant in time?

at time

at the “initial” time when a time has passed since the beginning of the particle’s motion, when its velocity was

More generally, the equations of motion can be written as

and .

Here is the time that has elapsed since the beginning of the particle’s motion, that is, where is the current time and is the time at which we start measuring the particle’s motion. The terms and are, respectively, the position and velocity at. As you can now see, the equations given at the beginning of this problem correspond to the case , which is a convenient choice if there is only one particle of interest.

Equations missing in the given question. Based on standard question in the book, I am solving this question as follows: Kinmatic eqautions:

x(t)=xo + Vot +(1/2)at^{2}v(t)= Vo + atx(t) is the position of the particle at a given instant of timexo is the initial position v(t) is the velocity of the particle at a given instant of timevo is the intial velocity of the particleais the acceleration(A) The quantity represented by

xis a function that changes over time (i.e., is not constant).TRUE (as the equation includes the term

t)(B) The quantity represented by

x_{o}is a function of time (i.e., is not constant).FALSE (as

x_{o}is independent oft)(C) The quantity represented by V

_{o}is a function of time (i.e., is not constant).FALSE (as initial velocity is independent of

t)(D) The quantity represented by

vis a function of time (i.e., is not constant).TRUE (as the equation includes

t)(E) A particle moves with constant acceleration . The expression

(v(t)= Vo + at) represents the particle’s velocity at what instant in time.Ans: when a time has passed since the beginning of the particle’s motion.

These are basic physics questions that can be answered easily.

Part A

True

Part B

False

Part C

False

Part D

True

Part E

V^2=V^2_i+2n(x-x_i)

The third is

Part F

When a time has passed since V_i was the particle’s velocity

The third is the best.

Part G

x_B(t)=x_i + 0.5v_i(t-t_1)+a(t-t1)^2

The sixth answer

Part H

t=2t_1+V_i/2a

The second answer is

I hope this helps!

Engineer.Extraordinaire

Equations missing in thegiven question. Based on standard question in the book, I am

solving this question as follows:

Kinmaticeqautions:

x(t)=xo + Vot +(1/2)at^2

v(t)= Vo +at

x(t)is the position of the particle at a given instant of

time

x

v(t) isthe velocity of the particle at a given instant of

time

v

particle

ais the acceleration(A) The quantityrepresented by

xis a function that changes over time(i.e., is not constant).

TRUE (as the equationincludes the term

t)(B) The quantityrepresented by

xo is a function of time (i.e., is notconstant).

FALSE (asxo isindependent of

t)(C) The quantityrepresented by Vo is a function of time (i.e., is not

constant).

FALSE (as initialvelocity is independent of

t)(D) Thequantity represented by

vis a function of time (i.e., isnot constant).

TRUE (as the equationincludes

t)(E) A

particle moves with constant acceleration . The expression (

v(t)= Vo + at) represents the particle’s velocity at whatinstant in time.

Ans: when a time has passed since the beginning of the particle’s

motion.