aeroplane is flying with a velocity of 90 metre per second at an angle of 23 degree with the horizontal when the plane is 140 directly above the dog diet is standing on a level ground for suitcase drops out of the login compartment how far from the dog will the suitcase land ignore the resistance
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Explanation:
The suitcase moves in projectile motion. The initial velocity of the suitcase is equal to the velocity of the airplane.
To find the time, it takes to reach the ground
the y-component of the velocity
v0y=v0sin23∘
The acceleration
ay=−9.8m/s2
since +y is taken to be upward.
Now, the vertical distance from the plane to the dog s=114m.
Putting these values in the equation of motion to find the time t, we have
114=90sin23∘+12×(−9.8)×t2
This gives,
t=9.60s
TThe distance the suitcase travels horizontally is
v0xt=(v0cos23∘)t=795m
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