Speed velocity and acceleration

Distance moved by a freely falling body related to time of fall

Distance moved by a freely falling body related to time of fall The value of the constant here is equal to t g and we can best illustrate the relationship between distance fallen and time taken by plotting a graph of x against t2. We should expect to obtain a straight line through the origin, the gradient …

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Acceleration from velocity-time graph

Acceleration from velocity-time graph By a process of reasoning similar to that used in the section above relating to the distance-time graphs, it may be shown that, A stone is thrown vertically upwards with an initial velocity of 14 m/s. Neglecting air resistance, find: (a) the maximum height reached; (b) the time taken before it reaches the ground. …

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Uniformly accelerated motion represented graphically

Uniformly accelerated motion represented graphically Fig. 3.2 shows the velocity-time graph for a body which starts with a velocity of 3 m/s and moves with an acceleration of 2 m/s 2 for 4 s. In this case the velocity increases uniformly, and therefore the average velocity is equal to the velocity at half time and is represented …

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