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A projectile is shot from the edge of a cliff 115 above ground level with an ini

ID: 2047908 • Letter: A

Question

A projectile is shot from the edge of a cliff 115 above ground level with an initial speed of 65.0 at an angle of 35.0 with the horizontal, as shown in the figure .

At the instant just before the projectile hits point P, determine the angle made by the velocity vector with the horizontal.

Explanation / Answer

vo=65 m/s==>vox=vo*cos(35º)=53.245 m/s==>voy=vo*sin(35º)=37.28 m/s -115 m=65*sin(35º)*t-1/2*9.8*t²?t=9.9641 s==>x=vox*t=530.54 m vox=53.245 m/s, vy=voy-9.8*9.9641=-60.37 m/s==>v(53.245²+60.37²)=80.5 m/s tan-1(-60.37/53.245)˜-48.6º

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