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Based on the distance against time graph of a certain car shown in the figure below, answer the follownig question

The graph shows that on the vertical line 80, 60 and 20 and also on the horizontal line 0, 10 and 20 and there is a line its inital point is from vertical line located on number 20
A.what is the initial position of the car? Take your reference frame at the origin
B. How fast is the car going?

User Madbreaks
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1 Answer

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The initial position and speed of the car can be found as follows

A. The initial position of the car is; 20 distance units

B. The speed of the car at a point is the slope of the line on the graph at the specified point

The steps used to find the initial position of the car and the procedure that can be use to calculate the speed on the are as follows;

A. The initial position of the car is the location of the car when the duration of travel x = 0, which corresponds with the y-intercept, which is the vertical axis

The initial point of the line on the graph is the point 20 on the vertical axis, which indicates that at time x = 0, the location of the car is at 20 distance units

The initial position of the car is; 20 units of distance

B. The speed of the car can be obtained from the the coordinate points of points on the line on the graph, through finding the slope of the line (where the line is a straight line), which can be obtained as follows;

Let (x, y), represent a point on the line;

The initial point where the line intersects the y-axis is; (0, 2)

The slope is therefore; (y - 2)/(x - 0) = (y - 2)/x

Plugging in the coordinate of another point on the line in the above equation for the slope of the line can be used to find the speed of the car

User SashaMN
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