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why must surveyors measure or determine the horizontal distances rather than just the slope distances when showing the relative locations of 2 points?

The force = 10 N * sin(2*pi*t/4) is exerted on a .25 kg particle during the interval of 0<t<2 s. If the particle starts from rest what is the speed at t = 2 s?

A sailboat is traveling east at 5 m/s. A sudden gust of wind gives the boat an acceleration = 0.8 m/s^2, 40 degrees north of east. What are the boats speed and direction of 6 s later when the gust subsides?

a ball thrown horizontally at 25 m/s travels a horizontal distance of 50 m before hitting the ground. From what height was the ball thrown?