60.3° from due south and 5.89 m/s For this problem, first calculate a translation that will put John's destination directly on the origin and apply that translation to Mary's destination. Then the vector from the origin to Mary's new destination will be the relative vector of Mary as compared to John. So John is traveling due south at 6.7 m/s. After 1 second, he will be at coordinates (0,-6.7). The translation will be (0,6.7) Mary is traveling 28° West of due south. So her location after 1 second will be (-sin(28)*10.9, -cos(28)*10.9) = (-5.117240034, -9.624128762) After translating that coordinate up by 6.7, you get (-5.117240034, -2.924128762) The tangent of the angle will be 2.924128762/5.117240034 = 0.57142693 The arc tangent is atan(0.57142693) = 29.74481039° Subtract that value from 90 since you want the complement of the angle which is now 60.25518961° So Mary is traveling 60.3° relative to due south as seen from John's point of view. The magnitude of her relative speed is sqrt(-5.117240034^2 + -2.924128762^2) = 5.893783 m/s Rounding the results to 3 significant digits results in 60.3° and 5.89 m/s
Answer:
Malthus objection was that the pressure of increasing population on the food supply would destroy perfection and there would be misery in the world.
Malthus was severely criticized for his pessimistic views,which led him to travel to the continent of europe to gather data in support of his thesis
Average speed equal to = ,total distance traveled/total time taken
so it would be = 94+84/8
= 22.25 kmph
Answer:
Explanation:
The average speed is defined as:
Using the equations for uniformly accelerated motion, we calculate the runner's acceleration:
Now, we can calculate the distance that the runner travels:
Finally, we calculate the runner's average speed:
The large can of solids will reach before the empty can reason being is it has more additional weight its like dropping a 1 pound weight compared to a 4 pound the 4 pound reaches faster because of the gravitational pull the size of the pull depends on the masses of the objects
