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A flare is dropped from a plane flying over level ground at a velocity of 70 m/s

ID: 1687696 • Letter: A

Question

A flare is dropped from a plane flying over level ground at a velocity of 70 m/s in the horizontal direction. At the instant the flare is released, the plane begins to accelerate horizontally at 0.75 m/s2. The flare takes 4.0 s to reach the ground. Assume air resistance is negligible. Relative to a spot directly under the flare at release, where does the flare land?
___directly on the spot.
___6.0 m in front of the spot.
___274 m in front of the spot.
___280 m in front of the spot.
___286 m in front of the spot.

Explanation / Answer

   Once the flare is released, its motion is only under the effect of gravity. Hence the horizontal distance travelled by the flare before it hits the land    x   =   ux0 * t    where    ux0   is initial horizontal velocity and    t    is the time.    x   =   70 * 4.0          =   280   m   280 m in front of the spot.
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