the line on the position time graph show the velocites of different vehicles which line represents a vehicle moving at constant
1 answer:
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Answer:
The distance in -x axis is 39.77 m
Explanation:
Given that,
Distance in +x axis = 24 m
Time = 3.5 sec
Total time = 9.3 sec
Average velocity = 0
We need to calculate the velocity in +x axis
Put the value into the formula
We need to calculate the velocity in -x axis
We need to calculate the distance
Using formula of average velocity
Hence, The distance in -x axis is 39.77 m.
(a) 46.6 cm
To calculate the total displacement, we need to resolve each vector along the x- and y- direction.
In the following, we take:
- East as positive x-direction, West as negative x-direction
- North as positive y-direction, South as negative y-direction
Vector A:
Vector B:
Vector C:
Vector D:
So the components of the total displacement are:
So the magnitude of the total displacement is:
(b) 19.8 degrees south of west
First of all, let's notice that:
- both components x and y of the total displacement are negative --> this means that the direction of the displacement is south of west
This means that the angle will be given by
where we have
Substituting, we find
and this angle is south of west.