ground. 20. Bozeman, Montana\'s Rolf Wilson, the 2012 world champion in jumping,

Question

ground. 20. Bozeman, Montana's Rolf Wilson, the 2012 world champion in jumping, comes of the ramp at a speed of 10 m/s and at an angle of 16° above He hits the snow at a point 30 m below the point where he took off. If the slope is designed so. that he makes a perfectly soft landing on the snow, what should be the angle of the slope wher he hits? Neglect air resistance (which, of course, no successful ski jumper can afford to do Hint: Find the direction of Rolf's velocity vector just as he hits the snow.] d) Find the distance between Shannon and the jaguar r ight as whe infl sho form rath velo cann you of the that i 30 m **27. what accele ally be *28. earth's *21. A sailor drops his pocket knifu ling east

Explanation / Answer

here,

initial speed , u = 10 m/s

theta = 16 degree

h0 = 30 m

let the final verical speed be vy

vy^2 - uy^2 = 2 * g * h0

vy^2 - (u * sin(theta))^2 = 2 * g * h0

vy^2 = (10 * sin(16))^2 + 2 * 9.81 * 30

vy = 24.4 m/s

final horizontal speed , vx = u * cos(theta)

vx = 10 * cos(16) = 9.6 m/s

direction of final velocity vector , theta = arctan(vy/vx)

theta = arctan(24.4/9.6) = 68.5 degree below the horizontal

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