Question

Calculus help on graph?

Answer 1

@satellite73

Answer 2

that is the graph of the velocity?

Answer 3

I think so.

Answer 4

if so, since velocity is the same as speed if it is positive, the largest looks to be 3 at \(t=4\)

Answer 5

the net distance is the area under the curve, and the total distance is the area above the curve plus the area below the curve

Answer 6

i guess that first part is supposed to be half a circle with radius 1, so that area is \(\frac{\pi}{2}\)
the area of the triangle you get via \(\frac{1}{2}bh\)

Answer 7

since the base is 4 and the height is 3, the area under that large triangle is 6
the "area" under the small triangle is negative since it is below the x axis, and that is 1

Answer 8

therefore net change is
\[\frac{\pi}{2}+6-1\] where as total distance is
\[\frac{\pi}{2}+6+1\]

Answer 9

So the net force is 5 + pi/2 ? (thats the option given)

Answer 10

net force?

Answer 11

Opps, sorry I meant net distance lol. Im taking both physics and calculus at the same time so I typed that without thinking.

Answer 12

net change, yes

Answer 13

Thanks!

Answer 14

may the change be with you

Answer 15

unless you have any spare force