A particle is projected from a horizontal plane (x-z plane) such that its velocity vector at time t (sec) is given by V ( m / s ) = 5 i ^ + ( 4 − 10 t ) j ^ . Its range on the horizontal plane is gi

Question

A particle is projected from a horizontal plane (x-z plane) such that its velocity vector at time t (sec) is given by V ( m / s ) = 5 i ^ + ( 4 − 10 t ) j ^ ​ . Its range on the horizontal plane is given by :-

TestHub · Accepted Answer

v = 5 i ^ + ( 4 − 10 t ) j ^ ​ ⇒ u x ​ = 5 m/s , u y ​ = 4 m/s , a y ​ = − 10 m/s 2 Time of flight: T = ∣ a y ​ ∣ 2 u y ​ ​ = 10 2 × 4 ​ = 0.8 s Range on the horizontal plane: R = u x ​ T = 5 × 0.8 = 4 m Hence option (B).

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