Reference BC CALC topic circuits parametric and vectors (make sure to show all work). Answer choices listed are

Question

Question: Reference BC CALC topic circuits parametric and vectors (make sure to show all work). Answer choices listed are

 ( 0.331, -1.015,6.370,0.647, (300,183.6), 2.121, (5.113,-1.797), <9.939,2.455>

Question: A projectile launched rest form the earth's surface has a vertical velocity, in meters, given by dy/dt=-9.8t+60, where t is time in seconds. If the projectile has a constant horizontal velocity of 50 meters per second, what is the projectile's position (x,y) relative to its launch point at t=6 seconds?

Answer 1

Integrating the equation dy = (-9.8t+60)dt you get y-y₀ = -4.9t²+60t Here, y₀ = 0 (You can also do an indefinite integral and solve for the integration constant C, which is 0 for y(0)=0)

x is obtained by the equation x = 50t (which you can get by integration of dx/dt = 50 and x(0) = 0

(x,y) = (50t, -4.9t²+60t) plug in t = 6 s