2. Given below a speed-time graphs. What do it indicate?
Answers
Answer:
speed is directly proportional to the time
Explanation:
Case 1: Speed-time graphs with constant speed (zero acceleration)
When the acceleration is constant, and the initial speed of the particle is zero, the speed of the particle will increase linearly, as predicted by the equation:
v = u + at
Since u = 0
v = at
Speed-time graph
Speed-Time graph with constant acceleration
As shown in the figure, the speed of the particle will increase linearly with respect to time. The slope of the graph will give the magnitude of acceleration.
Example: If the acceleration of a particle is constant (k) and initial speed is zero, the speed increases or decreases linearly. The slope of speed-time graph will give the magnitude of acceleration (k).
Case 3: Speed-time graphs with increasing acceleration
When the acceleration is increasing with time, the speed time graph will be a curve, as predicted from the equation:
v = u + at
Since u = 0
v= at
Since acceleration is a function of time, speed time graph will be a curve.
Note: Since the acceleration is continuously increasing with time, the magnitude of the slope will also continuously increase with time.
Speed-Time Graphs
Speed-time graph with increasing acceleration
Example: If the acceleration of a particle is a function of time and initial speed is zero, the speed-time graph will be a curve. The slope of speed-time graph at any instant (at a certain time) will give the magnitude of acceleration at that time.
Case 3 was just the case of increasing acceleration. There will be a different graph when the acceleration is decreasing with time.
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