Ellyn throws a dart at a speed v into a thick dartboard. Itpenetrates a distance x. (a) If she wants the dart to penetratetwice as far, how fast does it have to be thrown? (b) How far wouldthe dart penetrate if thrown at twice its initial speed? Why areyour answers different? (c) A dart thrown at 3.2 m/s penetrates 0.9cm into the dart board. Calculate the speed of a dart that wouldpenetrate 1.8 cm into the dartboard. (d) Calculate how far the samedart would penetrate if it were thrown at 6.4 m/s.

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a To determine how fast the dart needs to be thrown in order to penetrate twice as far as initially we can use the principle of conservation of energy ... View the full answer