Question

Robin is ready to jump from her burning plane but would really like to land in the tree on the nearby island since the waters are shark infested and the tree will break her fall. Her plane has very accurate measuring instruments and can measure not only vertical distances but horizontal distances as well. Robin needs help calculating how far back from the tree she will need to jump. Her plane is exactly 300 meters above the top of the tree and her plane is traveling at 120 m/s horizontal velocity. She will free fall at the rate of gravitational acceleration of 9.8 m/s. 300m Calculate how far from the tree in the horizontal direction she will need to be before she jumps. Show mathematical calculations supporting your answer. Hint: Find time first based on the height of the plane above the tree and gravitational acceleration. D = ?

Answer 1

1 Height of the plane from top of the tree h = 300m Velocity of plane is loomis. it means when Robin jumps, her initial velocity is Vost 120.mls in horizontal direction Now As initial vertical velocidy is ZERO :. Voy=0 from equation of motion h = Vöylt) + 1 g it? 300m = 0.3 ) ! > t= 7o82 Seconds Therefore Robin must jump at horizontal disfance (120) (7-82) =:938.95 m far from the her free to rea land at tree. (Vorld) = x =D x=938-95 m.