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https://edugen.wileyplus.com/edugen/student/mainfr.uni student/mainfr.uni WileyPLUS: MyWileyPLUSTH Halliday, Fundamentals of Physics, 10e University Physics (PHYS 107/ PH ice Assignment Gradebook ORION Downloadable eTextbook nent 1. FULL SCREEN 4 BACK PRNTER VERSON Chapter 02, Problem 025 An electric vehicle starts from rest and accelerates at a rate of 2.3 m/s in a straight line until it reaches a speed of 23 m/s. The vehicle then slows at a constant rate of 1.1 m/s? until it stops. (a) How much time elapses from start to stop? (b) How far does the vehicle move from start to stop? (a) Number Units (b) Number Units LINK TO SAMPLE PROBLEM LINK TO SAMPLE PROBLEM VIDEO MINI-LECTURE MATH HELP MATH HELP MATH HELP MATH HELP LINK TO TEXT Question Attempts: 0 of 4 used SAVE FOR LATERSUBAIT ANSWER

Explanation / Answer

Given,

a = 2.3 m/s^2 ; v = 23 m/s ; a' = -1.1 m/s^2

a)We know from eqn of motion

v = u + at

t = (v - u)/a

while it accelerates

t = (23 - 0)/2.3 = 10 s

while it slows down

t' = (0 - 23)/-1.1 = 20.9 s

T = t + t' = 10 + 20.9 = 30.9 s

Hence, T = 30.9 s

b)We know that

v^2 = u^2 + 2 a S

S = (v^2 - u^2)/2a

while accelerating

S = (23^2 - 0^2)/2 x 2.3 = 115 m

while slowing down

S' = (0^2 - 23^2)/2 x-1.1 = 240.5 m

D = S + S' = 115 + 240.5 = 355.5 m

Hence, D = 355.5 m

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