From the surface of a certain planet a body is projected with a certain velocity at a certain angle from the horizontal. The horizontal and vertical displacements x and y are given by x = 10 3 t and

Question

From the surface of a certain planet a body is projected with a certain velocity at a certain angle from the horizontal. The horizontal and vertical displacements x and y are given by x = 10 3 ​ t and 10 t − t 2 where t is the time in second and x and y are in meter. The magnitude and direction of the velocity of projection are :

TestHub · Accepted Answer

x = 10 3 ​ t , y = 10 t − t 2 u cos θ = 10 3 ​ u sin θ = 10 tan θ = 10 3 ​ 10 ​ = 3 ​ 1 ​ θ = 3 0 ∘ u 2 3 ​ ​ = 10 3 ​ u = 20 m / s 20 s m ​ a t 3 0 0 A n s = D ​

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