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Question: Answered & Verified by Expert
An airplane, diving at an angle of 53.0° with the vertical releases a projectile at an altitude of 730 m. The projectile hits the ground 5.00 s after being released. The speed of the aircraft is
PhysicsMotion In Two DimensionsNEET
Options:
  • A 282 s-1
  • B 202 s-1
  • C 182 s-1
  • D 102 s-1
Solution:
1976 Upvotes Verified Answer
The correct answer is: 202 s-1
Since the projectile is released its initial velocity is the same as the velocity of the plane at the time of release

Take the origin at the point of release

Let x and y(=-730 m) be the coordinates of the point on the ground where the projectile hits and let t be the time when it hits. Then

y=-v0tcosθ-12gt2 

where θ=53.0°

This equation gives

v0=-y+12gt2tcosθ

=--730+129.8525cos53°=202 s-1

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