MYTUTOR SUBJECT ANSWERS

604 views

Find the displacement function if the acceleration function is a=2t+5. Assume a zero initial condition of displacement and v=8 when t=1.

Integrating the acceleration function gives the velocity function v, as below:
v = t2 +5t +C1, where C1 is a constant.

Integrating the velocity function gives the displacement function x, as below:
x = t3/3 + 5t2/2 + C1t + C2, where C2 is another constant.

The answer is completed by finding the 2 constants, C1 and C2.

With a zero initial condition of displacement, that means t=0, x=0. Put this initial condition into the displacement function ---> C2 = 0.

The boundary condition is that: v=8 when t=1. Simply put this condition into the velocity function ---> C1 = 2.

Thus, the complete displacement function is as below:
x =  t3/3 + 5t2/2 + 2t

Justin  H. GCSE Maths tutor, A Level Maths tutor, GCSE Further Mathem...

1 year ago

Answered by Justin , an A Level Further Mathematics tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

122 SUBJECT SPECIALISTS

£30 /hr

Joe C.

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered:Further Mathematics , Maths

Further Mathematics
Maths

“Hi, I'm Joe, an experienced tutor and a University of Bristol graduate with a first class Degree in Mathematics.”

£20 /hr

Guido B.

Degree: Aeronautical Engineering (Masters) - Imperial College London University

Subjects offered:Further Mathematics , Science+ 3 more

Further Mathematics
Science
Physics
Maths
Biology

“Expert tuition from an expert. A second year Uni student who's completed the hassle of GCSEs and A Levels, and can teach you the easy way to pass and succeed!”

MyTutor guarantee

|  1 completed tutorial

£20 /hr

Ryan A.

Degree: Mathematics (Bachelors) - Warwick University

Subjects offered:Further Mathematics , Maths+ 1 more

Further Mathematics
Maths
.STEP.

“Passionate about passing down a greater understanding of maths and instilling confidence in all students.”

MyTutor guarantee

About the author

£20 /hr

Justin H.

Degree: Mechanical Engineering (Masters) - Bristol University

Subjects offered:Further Mathematics , Physics+ 1 more

Further Mathematics
Physics
Maths

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

MyTutor guarantee

You may also like...

Posts by Justin

Do y=3x^2+5x+12 and y=3x-8 intercept with each other? If yes, at which point(s)?

Find the displacement function if the acceleration function is a=2t+5. Assume a zero initial condition of displacement and v=8 when t=1.

Other A Level Further Mathematics questions

Can you express 3 + 4j in polar form?

Consider the Matrix M (below). Find the determiannt of the matrix M by using; (a) cofactor expansion along the first row, (b) cofactor expansion along the second column

Find the general solution for the determinant of a 3x3 martix. When does the inverse of this matrix not exist?

Find the general solution to the second order differential equation x'' - 2x' + x = e^(2t).

View A Level Further Mathematics tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok