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Mathematics 37 Online
zarkam21:

Help

zarkam21:

1 attachment
Vocaloid:

a) is just a velocity = distance/time question

zarkam21:

13.04

Vocaloid:

good acceleration = (final velocity - initial velocity)/time = >

zarkam21:

that would be m?

zarkam21:

like 13.04m?

Vocaloid:

keep in mind what the question is asking for to determine what the units would be

zarkam21:

m/s

Vocaloid:

"how long does it take" what are the units?

zarkam21:

s?

Vocaloid:

good, it is asking for time so the units must be in time, so seconds

Vocaloid:

and for b) acceleration = (final velocity - initial velocity)/time --> plug the values in

zarkam21:

(3.1)/3

Vocaloid:

it's final velocity - initial velocity using the velocity from a) as the initial velocity

zarkam21:

(3.1-13.04)/3

Vocaloid:

13.04 is the time not the initial velocity

zarkam21:

oh hold on , I'm screwing it up

zarkam21:

(3.1-4.6)/13.04

Vocaloid:

use the time from part b) in the denominator not the time from part a)

zarkam21:

(3.1-4.6)/3

Vocaloid:

good, and that equals..?

zarkam21:

-0.5

Vocaloid:

good, so -0.5 m/s/s

zarkam21:

okay so for c

Vocaloid:

|dw:1516751922613:dw|

Vocaloid:

you are given initial velocity, final velocity, and distance, which equation should we use to find the acceleration? note that you are not given time

zarkam21:

4

Vocaloid:

good, now solve for a

zarkam21:

initial velocity =4 distance=2

Vocaloid:

yes, keep going

zarkam21:

4^2=2+2(a)x

Vocaloid:

delta x is the distance if he is coming to a stop what must the final velocity be?

Vocaloid:

good, so 0^2 = 4^2 + 2a(2)

zarkam21:

./..

zarkam21:

-4

Vocaloid:

good, so -4 m/s/s is your answer

Vocaloid:

for d) use kinematics equation 3 to find the distance

zarkam21:

x=3.1(1.5)+1/2(-4)t

Vocaloid:

using the initial velocity, acceleration, and time given in d)

zarkam21:

x=3.1(1.5)+1/2(a)t

zarkam21:

isn't it 3.1 and 1.5

Vocaloid:

"accelerates from rest" what is the initial velocity?

Vocaloid:

good, now plug in deltax = v_o * t + (1/2)at^2 using the time and acceleration given in problem d)

zarkam21:

;'';'

zarkam21:

deltax=0*1.5+(1/2)a(1.5)^2

Vocaloid:

don't forget to plug in a

zarkam21:

deltax=0*1.5+(1/2)(3.1)^2

Vocaloid:

t^2 is still 1.5^2

Vocaloid:

just plug in a = 3.1 while leaving everything else as it was

zarkam21:

deltax=0*1.5+(1/2)(3.1)(1.5)^2

Vocaloid:

good, now solve for delta x

zarkam21:

3.49

Vocaloid:

good so 3.49 m

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