The gradient of a distance / time graph tells us:

Which of the following is equal to the gradient of a distance-time graph at a given point in time?Total distance travelledSpeedAccelerationDisplacement2An object is at rest.  What will its distance-time graph look like?It will be a curveIt will be a horizontal lineIt will be a straight line of positive gradient (it will slope upwards to the right)It will be a straight line of negative gradient (it will slope downwards to the right)3An object accelerates uniformly from rest.  What will its distance-time graph look like?It will be a curve of increasing positive gradient (one which gets steeper as time increases)It will be a curve of decreasing positive gradient (one which gets less steep as time increases)It will be a straight line of negative gradient (it will slope downwards to the right)It will be a straight line of positive gradient (it will slope upwards to the right)4Car A is travelling at a steady speed of 10 m/s, and car B is travelling at a steady speed of 20 m/s.  How will the distance-time graphs for the motion of both cars compare with one another?The graph for car A will be twice as steep as the graph for car BThe graph for car B will be twice as steep as the graph for car AThe distance travelled by car A at a given point in time will be twice that travelled by car B at the same point in timeBoth graphs will have the same gradient5(HT) An object is accelerating.  How can its speed at a given point in time be measured using a distance-time graph of its motion?Divide the total distance travelled at that point by the time takenCalculate the total area under the graph up to that point and divide this value by the timeDraw a tangent to the line at that point and then calculate the gradient of the tangentMultiply the total distance travelled at that point by the time taken

The gradient of a velocity-time graph at a given point in time is equal to which of the following quantities?DisplacementResultant forceAccelerationDistance travelled2Which of the following velocity-time graphs represents the motion of an object at a uniform velocity of 10 m/s.A straight line of positive gradient (one which slopes upwards to the right)A horizontal line along the time (x) axisA straight line of negative gradient (one which slopes downwards to the right)A horizontal line above the time (x) axis3An airplane accelerates uniformly from rest along a runway.  What will a velocity-time graph of its motion look like?A curve of positive increasing gradient (in other words, one which gets steeper as time increases)A straight line which starts above the origin and slopes downwards to the rightA straight line which starts at the origin and slopes upwards to the rightA curve of positive decreasing gradient (in other words, one which gets less steep as time increases)4Cars A and B both start accelerating uniformly from rest at the same time.  The acceleration of car A is 4 metres per second squared, and that of car B is 8 metres per second squared.  Which of the following statements is incorrect?Both graphs will start from the origin (0, 0)The velocity-time graph for the motion of car B will be twice as steep as that of car AThe gradient of the velocity-time graph for the motion of car A will be half that of the velocity-time graph for car BIn a given period of time, car B will travel four times as far as car A5(HT) Which of the following gives the total distance travelled by an object from its velocity-time graph?Its final velocity multiplied by the total time takenThe area between the graph and the time (x) axisThe gradient of the graphNone of the above

An object's acceleration describes its change in speed. If the speed of an object increases with time, its graph will have a gradient. If an object slows down, its graph will have a gradient.

What is the nature of the distance-time graph for accelerated motion?

6. What does the slope of a velocity-time graph indicate?