This graph indicates a _____ velocity. Constant Changing

Mathematics

2 answers:

ch4aika [34]3 years ago

8 0

This graph indicates a changing velocity.

If the velocity is constant, the displacement graph would have a straight line, instead of a curve. The line is a curve because the displacement is different for the same amount of time during the recorded period. As you can see, the line tend to curve more at the end, which means the velocity has increased comparing to the beginning.

Plus, if you look at the actual numbers, for the first 6 seconds, it travelled 36m, but for the next 6 seconds, it travelled 144/2 = 72m, which is not the same as 36m, so we can spot the change in velocity.

Ivan3 years ago

4 0

Changing velocity graph

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Can someone help me with this?

Marianna [84]

Look at the rectangle. The bottom side measures 8 miles, so the top side also measures 8 miles.

Now look at the upper right triangle. For the angle of 32 deg, the top side of the triangle is the adjacent leg of the triangle. The air distance, marked x, is the hypotenuse of the triangle.

The trig ratio that relates the adjacent leg and the hypotenuse is the cosine.

$\cos \theta = \dfrac{adj}{hyp}$

$\cos 32^\circ = \dfrac{8~miles}{x}$

$x = \dfrac{8~miles}{\cos 32^\circ}$

$x = 9.4 ~miles$