A projectile is launched at speed u and angle 0 (as measured from the horizontal) outwards...

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A projectile is launched at speed u and angle 0 (as measured from the horizontal) outwards from the top of a high cliff. (a) Sketch the trajectory of the projectile for launch angles 0=5°, 45° and 85°. Use r(t) for the horizontal displacement from the launch point and y(t) for the vertical displacement from the launch point. (b) Using separate axes, now sketch the absolute distance, r(t) = √√r(t)² + y(t)², from its launch point as a function of time for all of the three launch angles above. (c) Obtain an expression for r(t). For which angles does r(t) have a stationary point? (d) For angles below these, what happens to r(t) as time increases? [2] [2] [5] [1] A projectile is launched at speed u and angle 0 (as measured from the horizontal) outwards from the top of a high cliff. (a) Sketch the trajectory of the projectile for launch angles 0=5°, 45° and 85°. Use r(t) for the horizontal displacement from the launch point and y(t) for the vertical displacement from the launch point. (b) Using separate axes, now sketch the absolute distance, r(t) = √√r(t)² + y(t)², from its launch point as a function of time for all of the three launch angles above. (c) Obtain an expression for r(t). For which angles does r(t) have a stationary point? (d) For angles below these, what happens to r(t) as time increases? [2] [2] [5] [1]