Podcast
Questions and Answers
What does the slope of the s - t graph represent?
What does the slope of the s - t graph represent?
- Displacement
- Velocity (correct)
- Acceleration
- Jerk
Given the equation $s = 0.5t^2$, how do you find the velocity v as a function of time t?
Given the equation $s = 0.5t^2$, how do you find the velocity v as a function of time t?
- Integrate *s* with respect to *t*
- Multiply *s* by *t*
- Square the position *s*
- Differentiate *s* with respect to *t* (correct)
If the position of a particle is given by $s = 0.5t^2$, what is the velocity of the particle at $t = 2$ seconds?
If the position of a particle is given by $s = 0.5t^2$, what is the velocity of the particle at $t = 2$ seconds?
- 0.25 m/s
- 4 m/s
- 1 m/s
- 2 m/s (correct)
What type of motion does the equation $s = 0.5t^2$ represent?
What type of motion does the equation $s = 0.5t^2$ represent?
If a particle's position is described by $s = 0.5t^2$, what is the acceleration of the particle?
If a particle's position is described by $s = 0.5t^2$, what is the acceleration of the particle?
Flashcards
What is a s-t graph?
What is a s-t graph?
A graph showing position (s) on the y-axis and time (t) on the x-axis.
What is a v-t graph?
What is a v-t graph?
A graph representing the motion of an object, with time on the x-axis and velocity on the y-axis.
What is velocity?
What is velocity?
The rate of change of position with respect to time.
How do you find velocity on a s-t graph?
How do you find velocity on a s-t graph?
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What is a parabola?
What is a parabola?
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Study Notes
- A particle travels along a straight track.
- Position is described by the s-t graph.
- The task is to construct the v-t graph for the same time interval.
- The s-t graph plots position (s) in meters versus time (t) in seconds.
- The graph's max height is at s = 108, occurring at t = 6s
- The position function is given as s = 0.5t².
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Description
Learn how to construct a velocity-time (v-t) graph from a position-time (s-t) graph for a particle moving along a straight track. Given the position function s = 0.5t², determine the corresponding v-t graph.
