A Particle is projected from a point on the level ground and its height is h when at horizontal distances a and 2a from its point of projection.
Find Velocity of projection
Details And Assumptions
g = 10 SI Unit
a= 10 m
h = 10 m
Report answer upto 2 decimal places.
For the problem writing party
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Let the initial velocity be x and the angle be θ . Then, the y and x coordinate are given by: y = v sin ( θ ) t − 5 t 2 x = v cos ( θ ) t Combining the two, we have y = tan ( θ ) x − v 2 cos 2 ( θ ) 5 x 2 Referring to the values given in the question, we have 1 0 = 1 0 tan θ − v 2 cos 2 θ 5 0 0 = 2 0 tan θ − v 2 cos 2 θ 2 0 0 0 Utilising the last equation, we derive the following: v = cos 2 θ tan θ 1 5 0 1 0 = 3 2 0 tan θ From here, it follows that v = 1 8 . 0 3