Here is the velocity-time graph of a car a) Work out the average
for 40 seconds.
acceleration during the
40 seconds.

Give the units of your answer.

Velocity
(m/s)
b) Estimate the time during the
40 seconds when the
instantaneous acceleration
is equal to the
average acceleration
You must show your working
on the graph to get full marks.
Answer
seconds
Give your answer to
the nearest second.

The simplified area function in terms of y for a rectangle is

Solution:

Given that length of each side of a square = y

Need to determine area of rectangle whose length is twice the length of the square and width is 2 units longer that the side length of square

Length of rectangle = twice of side length of square =

Width of rectangle = 2 + side length of square = 2 + y = y + 2

On substituting length and width in formula for area, we get

Hence function is represents area of required rectangle.