6. An object with mass m is shot up with speed v, experiences gravity and a...

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6. An object with mass m is shot up with speed v, experiences gravity and a quadratic air resistance force: F = - cv. i) Solve for the height h; the mass reaches going upward in terms of v, for the special case where c = 0. ii) Solve for the height the mass reaches going upward h, in terms of v, and k m? the general case. iii) Show that solution for hi agrees with h, in the appropriate limit. Explicitly describe the limit involved. 6. An object with mass m is shot up with speed v, experiences gravity and a quadratic air resistance force: F = - cv. i) Solve for the height h; the mass reaches going upward in terms of v, for the special case where c = 0. ii) Solve for the height the mass reaches going upward h, in terms of v, and k m? the general case. iii) Show that solution for hi agrees with h, in the appropriate limit. Explicitly describe the limit involved.

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