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Consider the vector function given below. r(t) = Find the unit tangent and unit normal vectors T(t) and N(t). T(t) = N (t) = Use this formula to find the curvature. K(t) A ball is thrown a t an angle of 45 degree to the ground. If the ball lands 84 m away, w h a t was the initial speed of the ball? (Round your answer to the nearest whole number. Use g 9.8 m/s2.) v0 = m/s Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. a(t) = 5i + 4j, V(0) = k, r(0) = I V(t) = r(t) =

Explanation / Answer

distance d= v0^2 [sin(2a)]/g

=> 84 = Vo^2 sin90 /9.8

=> V0^2 = 84*9.8 /1 = 823.2

=> V0= 28.6915 m/s

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