To describe the motion of a particle along a straight line, it is often convenie

Question

To describe the motion of a particle along a straight line, it is often convenient to draw a graph representing the position of the particle at different times. This type of graph is usually referred to as an x vs. t graphs To draw such a graph, choose an axis system in which time t is plotted on the horizontal axis and position x on the vertical axis. Then, indicates the values of x at various times t. Mathematically, this corresponds to plotting the variable x as a function of t. An example of a graph of position as a function of time for a particle traveling along a straight line is shown. This does not represent the path of the particle in space What is the total distance Delta x travelled by the particle What is the average velocity of the particle over the time interval Delta t = 50 s. What is the instantaneous velocity of the particle at = 10.0 s

Explanation / Answer

1. its starting position is 10 m and final position is 40 m .

total distance traveled = 40 - 10 = 30 m

2. average velocity = total displacement / total time

= 30 / (50 - 0)

= 0.6 m/s

3. velocity is slope of x vs t curve at that point.

and this curve is straight line, so velocity is constant throughout.

at t = 10s

v = 0.60 m/s

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