A particle is subject to uniform gravity and the linear resistance force -mKv, where K is a positive constant and v is the velocity of the body. Initially the particle is projected with speed u in a direction making an angle a with the horizontal. Which of the following is TRUE about the subsequent motion? O It has a vertical asymptote at x = u u cos(a/K) O It has a vertical asymptote at x = (u/K) cos a. O When u.K/g is small, the time of flight is (2u/g) sin(2a). O When u.K/g is small, the range is (u²/g) sin(2a). When u.K/g is small, the time of flight is 2u sin(a/g).

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A particle is subject to uniform gravity and the linear resistance force -mKv, where K is a positive constant and
v is the velocity of the body. Initially the particle is projected with speed u in a direction making an angle a with
the horizontal. Which of the following is TRUE about the subsequent motion?
O It has a vertical asymptote at x = u u cos(a/K)
O It has a vertical asymptote at x = (u/K) cos a.
O When u.K/g is small, the time of flight is (2u/g) sin(2a).
O When u.K/g is small, the range is (u²/g) sin(2a).
When u.K/g is small, the time of flight is 2u sin(a/g).
Transcribed Image Text:A particle is subject to uniform gravity and the linear resistance force -mKv, where K is a positive constant and v is the velocity of the body. Initially the particle is projected with speed u in a direction making an angle a with the horizontal. Which of the following is TRUE about the subsequent motion? O It has a vertical asymptote at x = u u cos(a/K) O It has a vertical asymptote at x = (u/K) cos a. O When u.K/g is small, the time of flight is (2u/g) sin(2a). O When u.K/g is small, the range is (u²/g) sin(2a). When u.K/g is small, the time of flight is 2u sin(a/g).
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