A bullet is shot straight up into the air from ground level. After t seconds, the

Chapter 1, Problem 45

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A bullet is shot straight up into the air from ground level. After t seconds, the velocity of the bullet, in meters per second, is approximated by the formula v = f(t) = 1000 9.8t. (a) Evaluate the following: f(0), f(1), f(2), f(3), f(4). Compile your results in a table. (b) Describe in words what is happening to the speed of the bullet. Discuss why you think this is happening. (c) Evaluate and interpret the slope and both intercepts of f(t). (d) The gravitational field near the surface of Jupiter is stronger than that near the surface of the earth, which, in turn, is stronger than the field near the surface of the moon. How is the formula for f(t) different for a bullet shot from Jupiters surface? From the moon?

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