part b and part c t A Motorcycle Catches a Car 14 of 19 Constants Part B A motor

Question

part b and part c

t A Motorcycle Catches a Car 14 of 19 Constants Part B A motorcycle is foilowing a car that is traveing at constant speed on a straight highway, Innaly. the car and the motorcycle are both traveling at the same speed of 22.0 m's, and the distance between them is 53.0 m Ater t1 ; 2 00 8the motorcycle starts to accelerate at a rate of 5.00 m/s . The motoreycle catches up with the car at some time f2 How long does it lake from the moment when the motorcycle starts to accelerate unti it catches up with the car? in other words, Ind -ti Express the time numerically in seconds using ree sigrificant figures Submt Part C Figure How far does the molorcydle travel from the moment in starts to accelerate (at tme t )until it catches up with the car (at tme ty 1? Should you need to use an answer trom a provicus part, make sure you use the unrounded value. Answer numericaly in melers using three signiticant sgures Viaw Avaliable Hintis) 3) Submkt Provide Feedback Next >

Explanation / Answer

Position of car

x= 53 + 22*t. ... (i)

Position of bike

x= 22t + 0.5 * 5*T^2 .(ii)

Equating (i) and (ii)

53+ 22t= 22t + 2.5 T^2

T= 4.6 seconds

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Position is given by

X= 22* 4.6 + 0.5* 5* 4.6^2

= 154.296 m

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Comment in case any doubt.. good luck

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