Question

two particles of projected with the same speed and different direction. the first make an angle of 30degree while the other 30 degree with the vertical the ratio of their horizontal range is​

Answer 1

Answer:

ratio of their horizontal range is​ 1 :1

Explanation:

two particles of projected with the same speed and different direction. the first make an angle of 30degree while the other 30 degree with the vertical the ratio of their horizontal range is​

Let say Velocity = V

Horizontal Velocity = VCos30

Vertical Velocity = V Sin30

Time to reach max height  =  V Sin30/g

Time of Flight = 2VSin30/g

Horizontal Range = VCos30 *  2VSin30/g = 2VCos30Sin30/g

now angle 30 deg with Vertical

=> Horizontal Velocity = VSin30

& Vertical Velocity = VCos30

Time to reach max height  =  V Cos30/g

Time of Flight = 2VCos30/g

Horizontal Range = VSin30 *  2VCos30/g = 2VCos30Sin30/g

Ration of Horiozntal Range = 2VCos30Sin30/g : 2VCos30Sin30/g

= 1 : 1