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  1. Oct 21, 2023 · Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t. You can use the equivalent formula d = rt which means distance equals rate times time. distance = rate x time. To solve for speed or rate use the formula for speed, s = d/t ...

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  2. Using the information above, we can now sketch the distance-time graph. The gradient of a speed-time graph gives acceleration. At t = 0 to 20 s, a1 = (30 – 0) / (20 – 0) = 1.5 m/s 2. At t = 20 to 45 s, a2 = (30 – 30) / (45 – 25) = 0 m/s 2. At t = 45 to 50 s , a3 = (0 – 30) / (50 – 45) = – 6 m/s2.

  3. Now move up the vertical side of the triangle a distance of 50 metres. This is our 'rise' = +50m. Use the formula: Gradient = Rise/Run and sub-in the numbers. = 50/10. = 5. The speed shown in this distance time graph is therefore 5 m/s. (Note that you could also have used the formula: Average Speed = Distance travelled / Time taken.

  4. To audio trace, press ALT+T. to save your graphs! Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

  5. Speed-time graphs show speed on the vertical axis and time on the horizontal axis. The gradient of a speed-time graph represents acceleration because: gradient = \( \frac {\text{change in y ...

  6. a) Calculate the acceleration in the first 6 seconds. In a speed-time graph the acceleration is the gradient of the graph. Acceleration = 1.5 m/s2. b) Work out the distance covered by the car. In a speed-time graph the distance travelled is equal to the area under the graph. The graph is a trapezium so use the formula .

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  8. Dynamic pressure is the kinetic energy per unit volume of a fluid in movement. Formulas of Motion - Linear and Circular Linear and angular (rotation) acceleration, velocity, speed and distance. Impulse and Impulse Force Forces acting a very short time are called impulse forces. Kinetic Energy Energy possessed by an object's motion is kinetic ...

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