1) Given the acceleration a 10- 5x and at x 0 v 10, what is the velocity as a fu

Question

1) Given the acceleration a 10- 5x and at x 0 v 10, what is the velocity as a function of x? 2) A mass, m, initially at rest is dropped from a height of 100 meters. The force due to air velocity a) draw the free body force diagram b) establish the equations from Newton's second law e) find the velocity of the mass as a function of t For the following problems: a) draw the free body force diagram b) establish the equations from Newton's second law e) find the acceleration, Awo TENSIONS 3) loK9 IS k

Explanation / Answer

1) a = 10 - 5x

v dv/dx = (10 - 5x)

v dv = (10 - 5x) dx

v^2 / 2 = 10- 5x + C

at x = 0 , v = 10

10^2 / 2 = 10 - 0 + C

C = 40

v^2 / 2 = 40 - 5x

v = sqrt(2(40 - 5x))

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