Where cuts the and axes plot the graph

Advanced Maths 2

Assignment 2
Due: Wednesday 4th January 2012 (by 5 pm)

It is strongly recommended that you start this assignment early.

NUMBER OF QUESTIONS: 8

(a)∫

(b)∫( )

For each of the following functions:

QUESTION 3

A particle P moves in a straight line. The displacement of the particle from its starting point (origin) is given by:

(c)Discuss the acceleration as .

(d)Sketch the graph of the acceleration function. Show all important points.

An object ‘O’ oscillates (that is, moves back and forth) in a straight line along the horizontal axis. The position of O is given by:

( ) ( ) cm

(c)On graph paper (if not using a computer), accurately plot the graphs for ( ), ( ) and ( ). Show the time on the horizontal axis in terms of . (plots must be accurate and correctly scaled). For this part (c), the use of a computer to plot the graph is permitted.

It is up to you whether you use graph paper or plot using a computer. For either method, all working must be shown.

3

QUESTION 5

Consider two functions, ( ) and ( ) with the properties given in the table below.

(a)Determine the equations of the functions ( ) and ( ).

appropriate test to prove this).

4

h cm