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Solving Speed and Acceleration Problems

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Questions and Answers

What does the gradient in the distance-time graph represent?

The time taken by the object

The acceleration of the object

The speed of the object (correct)

The shape of the graph

What should you do if the gradient in the graph is a curve?

Memorize the shape of the graph

Divide the shape into parts and guess the area of the rest

Find the time taken by the object

Draw a tangent and use it to find the answer (correct)

What does the gradient in the speed-time graph represent?

The speed of the object

The acceleration of the object (correct)

The time taken by the object

The shape of the graph

What is the graph shape for an object moving in the presence of air resistance?

<p>Non-uniform decreasing acceleration</p> Signup and view all the answers

What is the graph shape for an object moving in the absence of air resistance?

<p>Uniform acceleration</p> Signup and view all the answers

Study Notes

Distance-Time Graph

The gradient in a distance-time graph represents the speed of an object; a steeper gradient indicates a higher speed.
If the gradient is a curve, it indicates a change in speed, meaning the object is accelerating or decelerating rather than moving at a constant speed.

Speed-Time Graph

The gradient in a speed-time graph represents acceleration; a positive gradient indicates increasing speed, while a negative gradient indicates decreasing speed.

Graph Shapes Under Different Conditions

An object moving in the presence of air resistance typically shows a curve in the speed-time graph, as it accelerates initially and then levels off, indicating a terminal velocity.
An object moving in the absence of air resistance shows a linear graph in the speed-time representation, indicating constant acceleration until it stops accelerating.

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Description

Test your knowledge on solving speed and acceleration problems with this quiz! Learn about the shapes of distance-time and speed-time graphs, and how to find the speed and acceleration of an object using gradients. Put your skills to the test and see how well you can interpret graphs and solve for speed and acceleration.