The distance-time graph shows information about part of a car journey.
Use the graph to estimate the speed of the car at time 5 seconds.
Did this page help you?
The distance-time graph shows information about part of a car journey.
Use the graph to estimate the speed of the car at time 5 seconds.
Did this page help you?
Karol runs in a race.
The graph shows her speed, in metres per second, seconds after the start of the race.
Calculate an estimate for the gradient of the graph when
You must show how you get your answer.
Describe fully what your answer to part (a) represents.
Explain why your answer to part (a) is only an estimate.
Did this page help you?
The graph shows information about the velocity of a parachutist after jumping from a plane.
By drawing a suitable tangent, find an estimate of the gradient of the curve after 3 seconds.
Interpret the value of the gradient.
Did this page help you?
The graph shows the temperature of a fish tank over the first 6 hours after a heater is added.
By drawing a suitable tangent, find an estimate of the gradient of the curve when = 3.
Interpret the value of the gradient.
Did this page help you?
A fish bowl is being filled with water.
The graph shows how the diameter of the surface of the water changes with time.
Find an estimate for the gradient at = 10.
Give an interpretation of the gradient.
Did this page help you?
The diagram shows parts of the graphs of y=f(x) and y=g(x)
Write down the value of x where the gradient of the curve y=g(x) is zero.
Calculate an estimate for the gradient of the curve y = f(x) at the point on the curve where x = 4.
Did this page help you?
The diagram shows part of the graph of
By drawing a suitable straight line, use your graph to find estimates for the solutions of
is the point on the graph of where
Calculate an estimate for the gradient of the graph at the point .
Did this page help you?
The curve is shown on the grid.
Write down the co-ordinates of the points where the gradient of the curve is zero.
Write down the range of values of x when the gradient of the curve is negative.
Find an estimate of the gradient of the curve when x = 2.
Did this page help you?
Part of the curve with equation is shown on the grid.
Find an estimate for the gradient of the curve at the point where
Show your working clearly.
Did this page help you?
and are points on a curve.
is is
Work out the instantaneous rate of change of with respect to at point .
The average rate of change of with respect to between points and is worked out.
Which statement is correct?
Tick one box.
Did this page help you?
The speed-time graph shows 20 seconds of a car journey.
Harry wants to estimate the distance the car travels in this time.
He uses a triangle and a trapezium, as shown, to estimate the area under the graph.
Complete Harry’s method to estimate the distance the car travels.
.......................m
For this journey, which of these is true for Harry’s method?
Tick one box.
It works out an overestimate of the distance
It works out an underestimate of the distance
It could work out an overestimate or an underestimate of the distance
Did this page help you?
A container is filled with water in 5 seconds.
The graph shows the depth of water, cm, at time seconds.
The water flows into the container at a constant rate.
Which diagram represents the container?
Circle the correct letter.
Use the graph to estimate the rate at which the depth of water is increasing at 3 seconds.
You must show your working.
.....................cm/s
Did this page help you?
A ball is thrown from a point 6 metres above the ground.
The graph shows the height of the ball above the ground, in metres.
Estimate the speed of the ball, in m/s, after 1 second.
You must show your working.
...............................m/s
Did this page help you?
The graph shows the distance travelled by a particle over 8 seconds.
Estimate the speed of the particle at 5 seconds.
................................................... m/s
Did this page help you?
The graph shows the speed, v metres per second (m/s), of a car at time t seconds.
Use the graph to estimate the acceleration at t = 7.
...................................................m/s2
Did this page help you?