Turn on thread page Beta
    • Thread Starter
    Offline

    13
    ReputationRep:
    Me again, finding M2 tricky

    When t=0 a particle P is at rest at point A, whose position vector relative to a fixed point o is r= (3i+4j)m. P moves with acceleration a ms^-2 at time t seconds given by a =5ti.
    Find the distance P moves between t=1 and t=2

    Made an attempt, integrated a twice to get r , but I didn't get the right result, not sure if this was an error in working or if I used the wrong method entirely. Thanks in advance
    Offline

    12
    ReputationRep:
    (Original post by Apagg)
    Me again, finding M2 tricky

    When t=0 a particle P is at rest at point A, whose position vector relative to a fixed point o is r= (3i+4j)m. P moves with acceleration a ms^-2 at time t seconds given by a =5ti.
    Find the distance P moves between t=1 and t=2

    Made an attempt, integrated a twice to get r , but I didn't get the right result, not sure if this was an error in working or if I used the wrong method entirely. Thanks in advance
    a=5ti
    v=∫(a)dt
    v=2.5t²i+ci+cj
    t=0 v=0
    0=ci+cj
    .:.v=2.5t²i

    r=∫(v)dt
    r= (5/6)t³i+ci+cj
    t=0 r=(3i+4j)m
    ci+cj=3i+4j

    .:. r=[(5/6)t³i+3i+4j]m

    t=1 r=[35/6i +4j]m
    t=2 r=[92/3i+4j]m

    Distance between= [(92/3i+4j)-(35/6i +4j)]m
    =(5 5/6i)m
    =5 5/6m
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: November 18, 2005

University open days

  • Heriot-Watt University
    School of Textiles and Design Undergraduate
    Fri, 16 Nov '18
  • University of Roehampton
    All departments Undergraduate
    Sat, 17 Nov '18
  • Edge Hill University
    Faculty of Health and Social Care Undergraduate
    Sat, 17 Nov '18
Poll
Have you ever experienced bullying?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Equations

Best calculators for A level Maths

Tips on which model to get

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.