To calculate: The power expenditure of each runner whose masses are 60kg, 65kg and 70kg, running at 400m/min.
(b)
To determine
Whether the power expenditure increase or decrease as the mass of the runner increases with constant velocity.
(c)
To determine
To calculate: The velocity of each runner whose masses are 80 kg, 84kg and 90 kg, expending power at P=38.7 kcal/min.
(D)
To determine
Whether the velocity increases or decreases as the mass of the runner increases with constant power expenditure.
(e)
To determine
To calculate: The velocity of a 50 kg runner expending power at same rate while carrying 2 kg extra weight and being trained at velocity 480 m/min.
(f)
To determine
The reason for the runners to carry extra weight while being trained.
(g)
To determine
To graph: Power expenditure versus mass of a runner with velocity fixed at 400 m/min and velocity versus mass of a runner with fixed power expenditure at 40 kcal/min with the use of computer.
1.
vector projection.
Assume, ER1001 and you know the following:
||||=4, 7=-0.5.7.
For each of the following, explicitly compute the value.
འབ
(a)
(b)
(c)
(d)
answer.
Explicitly compute ||y7||. Explain your answer.
Explicitly compute the cosine similarity of and y. Explain your
Explicitly compute (x, y). Explain your answer.
Find the projection of onto y and the projection of onto .
2.
Answer the following questions using vectors u and v.
--0-0-0
=
find the the cosine similarity and the angle between u and v.
འརྒྱ
(a)
(b)
find the scalar projection of u onto v.
(c)
find the projection of u onto v.
(d)
(e)
(f)
find the scalar projection of onto u.
find the projection of u onto u.
find the projection of u onto and the projection of onto . (Hint:
find the inner product and verify the orthogonality)