Please see my attached file: This is a multi-part question. I would appreciate i

Question

Please see my attached file: This is a multi-part question. I would appreciate it if someone would not mind answering the multiple parts in one question (Parts A through D; 1, 2, and 3). I am a student and not sure how much help I will need overall. I posted another question last night that was solved incorrectly, so I am trying to reserve my 20 questions for the month. Thank you in advance for your help with this; it is very much appreciated. See question below:

You go out to the store to pick up some groceries. The store is a half mile walk west of your home. Being a bit caught up thinking through a physics problem, you accidentally set out walking eastward at a rate of 0.050 mi/min. At some point, you catch yourself and realize your error. You turn around and walk west toward the grocery store, doubling your speed. You arrive at the store 11.00 minutes after you left home. (a) What is the x-component of your displacement starting from when you began your trip to when you arrived at the store? (b) What is the x-component of your average velocity from the beginning of your trip to the time you arrived at the store? (c) What was the total distance you traveled during your whole trip? (d) What was your average speed during the trip? 1) The problem asks you to compute the average velocity over your entire trip to the grocery store. Which of the options below corresponds to average velocity'? A) The distance traveled divided by the time taken to travel that distance. B) The displacement during the time interval divided by the time interval C) (xf-x.)/(tf-ti) where xr is your final position at time tr and Xi is your final position at time ti D) (Tj)/(tf-ti) where is your final position at time tf and is your final position at time t. 2) Consider your initial velocity on leaving your house and your velocity after you turn around. Which of the options below are valid ways of characterizing this relationship? 1 D) | v!! 2 MI, with V1 pointing west and Vi pointing east. 3) Consider the unknown time at which you turned around, the x-component of the velocity you were traveling at before you turned around (call this vxi, and the unknown location at which you turned around). Which of the following is a correct relationship between these three pieces of data?

Explanation / Answer

(a)
Total Displacement, = 0.5 mile
(b)
Velocity = Displacement/time
Velocity = 0.5/11.0
Velocity = 0.045 mil/min

(c)
Let the time you walk eastwards, = t1 min
Initial Speed = 0.050 mi/min
Distance travelled, = Speed * time
S1 = 0.050 * t1 --------1

Now,
You start waling Westward,
Speed = 2*0.050 = 0.1 mi/min
As speed is doubled Time taken to reach back home, = t1/2

Total time wasted = t1 + t1/2 = 1.5*t1

Now, Distance between home & store = 0.5 mil
Time taken @ v = 0.1 mi/min = 0.5/0.1 = 5 min

Now,
(11.0 - 5) = 1.5t1
t1 = 4 min

Total distance travelled, = 2* 0.050 * 4 + 0.5 miles
Total distance travelled, = 0.9 miles

(d)
Speed = (Total Distance)/time
Speed = 0.9/11 = 0.0818 mil/min

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