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- Show that if a particle has zero velocity for any givenperiod of time, then it stands still during that period.A particle is moving on xy plane, with x=15sin(2t), and y = 20cos(2t) Find the magnitude of the velocity as a function of timeIf a particle moving in one-dimensional motion about the x-axis starts from the originwith velocity vi and decelerates with constant acceleration - a, show that the particle will return to the origin in a time.
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- A mountain climber jumps a crevasse of width W by leapinghorizontally with speed v0. (a) If the height difference betweenthe two sides of the crevasse is h, what is the minimum value ofv0 for the climber to land safely on the other side? (b) In this case,what is the climber’s direction of motion on landing?A bullet is traced with a fixed ruler and flash twice witha time interval of 2 ± 0.06 ms. If the position of the bullet determined is 23.0 ± 0.5 cm firstand the position of the bullet is 37.5 ± 0.5 cm next. Calculate the speed of the bullet, V(=D/T).Suppose (unrealistically) the velocity of the skydiver is 80 m/s, for 0 ≤ t ≤20,and then it changes instantaneously to 6 m/s, for 20 ≤ t ≤ 40. Sketchthe velocity function and, without integrating, find the distance theskydiver falls in 40 s
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