34. (Double points) You help your friend construct a soap box derby car for the All-American Soap Box derby's Stock Division. He
1 answer:
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Resultant displacement is 29.2 km at north of west
Explanation:
To solve the problem, we have to use the rules of vector addition, resolving first each vector along the x- and y- direction.
Taking east as positive x direction and north as positive y- direction, we have:
- First displacement is 25.5 km east, therefore its components are
- Second displacement is 41.0 km northwest, so its components are
So, the components of the resultant displacement are
And so, the magnitude is calculated using Pythagorean's theorem:
And the direction is given by
Where the angle is measured from the west direction, since Rx is negative.
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Answer:
Part a)
H = 26.8 m
Part b)
error = 7.18 %
Explanation:
Part a)
As the stone is dropped from height H then time taken by it to hit the floor is given as
now the sound will come back to the observer in the time
so we will have
so we have
solve above equation for H
Part b)
If sound reflection part is ignored then in that case
so here percentage error in height calculation is given as