Calculating Time for Bus to Catch Anna - Motion Problem

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Homework Help Overview

The problem involves a cyclist named Anna traveling at a constant speed of 12 m/s, while a stationary bus begins to move and accelerates uniformly at 1.5 m/s². The objective is to determine the time it takes for the bus to catch up with Anna.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss relevant equations and attempt to set up the problem mathematically. There are questions regarding the use of acceleration and the kinematic equations involved in the scenario.

Discussion Status

Some participants have shared their attempts at solving the problem, while others are seeking clarification on the equations and concepts involved. There is an indication of productive dialogue as participants explore the relationships between distance, time, and acceleration.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can provide or the methods they can use. There is a focus on ensuring the correct application of kinematic equations.

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A cyclist, Anna is traveling at a constant speed of 12m/s when she passes a stationary bus. The bus starts moving just as Anna passes, and it accelerates uniformaly at 1.5m/s.

How long does the bus take to catch Anna??
 
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Write down the relevant equations. Show your attempts.
 
alright this is what i did but i didnt get the correct answer.

equation formed
12t=0.5*8*12 + 1.5t(t-8)

simplify it down and i got 1.5t^2-12t-48=0, t>0 is 10.9

answer is suppose to be 16
 
Bus starts from rest. So in time t the distance moved by the bus is 1/2*a*t^2. During that time distance moved by the cyclist is v*t. If the meet after this time, these distances must be equal.
 
is a the acceleration? and why is it t^2?

if you can, can you show me your full working out
 
Yes. a is the acceleration. What is the kinematic equation which contains initial velocity, acceleration, time and displacement? And unit of acceleration is m/s^2
 
ohhhhhhhhhhhhhhh...thnx i get it now. I am suppose to use x=ut+1/at^2 formula
 
Yes.
 

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