I want to understand the speed time graph
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Speed – Time Graphs:
We know that the speed at a certain time is the magnitude of the velocity at that time. So we can follow equations of motion to draw speed time graphs.
Case 1: Speed-time graphs with constant speed (zero acceleration)
When the speed is constant, the speed time graph, with Y-axis denoting speed and X-axis denoting time, will be like:
Speed-time graph for constant speed
As clear from the graph, the speed is constant (c) throughout the time interval. No matter how much the time changes, the speed will be c at every instant.
Example: If the acceleration of a particle is zero (0), and speed is constant say 5 m/s at t =0, then it will remain constant throughout the time.
Case 2: Speed-time graphs with constant 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 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 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.
_____________________
HOPE IT HELPS
THANK YOU
-SHIVAMSHAURYA
HERE IS YOUR ANSWER
___________________
Speed – Time Graphs:
We know that the speed at a certain time is the magnitude of the velocity at that time. So we can follow equations of motion to draw speed time graphs.
Case 1: Speed-time graphs with constant speed (zero acceleration)
When the speed is constant, the speed time graph, with Y-axis denoting speed and X-axis denoting time, will be like:
Speed-time graph for constant speed
As clear from the graph, the speed is constant (c) throughout the time interval. No matter how much the time changes, the speed will be c at every instant.
Example: If the acceleration of a particle is zero (0), and speed is constant say 5 m/s at t =0, then it will remain constant throughout the time.
Case 2: Speed-time graphs with constant 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 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 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.
_____________________
HOPE IT HELPS
THANK YOU
-SHIVAMSHAURYA
Answered by
1
A speed-time graph tells us how the speed of an object changes over time. In a speed-time graph: A horizontal line means a constant speed. A straight line with a positive gradient means a constant positive acceleration (speeding up).
A speed-time graph tells us how the speedof an object changes over time. ... If a line has a slope then the speed is changing. The steeper the gradient of the line, the greater the acceleration (a bigger change in speed in the same time).
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