Where Does a Projectile Fired from a Cliff Land?

AI Thread Summary
A projectile is launched from a 200-meter cliff with an initial velocity of 60 m/s at a 60-degree angle. The calculations for time of flight yield approximately 6.39 seconds. Using this time to calculate horizontal distance results in 191.7 meters, which contradicts the professor's expected distance of 0.41 kilometers. The discrepancy may arise from not accounting for the vertical component of the initial velocity. Further clarification on the vertical motion and its impact on horizontal distance is needed for accurate results.
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Homework Statement


A projectile is fired into the air from the top of a 200-m cliff above a valley. It's initial velocity is 60 m/s at 60 degrees above the horizontal. Where does the projectile land?


Homework Equations


delta x = intial velocity of x * t
delta y = -.5*g*t

The Attempt at a Solution


I solved for time and got 6.39s. When I put this back in for delta x I get 191.7m. However according to my professor the results should be .41km. Any ideas? Thanks!
 
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You have an initial speed in the y direction, 60sin60.
 
Thanks.
 
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