Question

Margy is trying to improve her cardio endurance by performing an exercise in which she alternates walking and running 100.0 m each. If Margy is walking at 1.4 m/s and accelerates at 0.20 m/s2 during one of the running portions, what is her final velocity at the end of the 100.0 m? Round your answer to the nearest tenth.

Answer 1

okay so

Answer 2

she starts at 1.4 m/s
and accelerates 0.2 m/s^2 over a distance of 100.0m

Answer 3

now okay lets suppose it takes t seconds for her to run this 100.0m while she is accelerating

Answer 4

now the velocity over this time period will look like
v(t) = 1.4 + 0.2 *t <---- tells you the veloicty with respect to the time
the distance over this time will look like the area under this graph, as that will tell you how much distance is constantly being covered over this time,
now the area has to be = 100 in total, so wee see the time that takes and the final velocity

Answer 5

okay