a body of mass 2kg is projected at an angle of 45 degree with the horizontal . If the maximum height is 50m then its horizontal range is_____.
Answers
Explanation:
a body of mass 2kg is projected at an angle of 45 degree with the horizontal . If the maximum height is 50m then its horizontal range is_____.
Given : a body of mass 2kg is projected at an angle of 45 degree with the horizontal . the maximum height is 50m
To Find : horizontal range
Solution:
Assume that Velocity is V√2 m/s
Horizontal velocity = V√2 cos45° = V m/s
Vertical velocity = V√2sin45° = V m/s
V=U + at
=> 0 = V - gt
=> t = V/g
Time of flight = 2V/g
S = ut + (1/2)at²
50 = V(V/g) - (1/2)g(V/g)²
=> 50= V²/g - V²/2g
=> V²/g = 100
Horizontal Distance range = V * 2V/g
= 2V²/g
= 2 * 100
= 200 m
horizontal range is 200 m
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