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A bullet is shot vertically upwards from a rifle with an initial velocity of 882 meters per second. What is the maximum altitude reached by the bullet? (Assume acceleration due to gravity, g = -9.8 m/s^2)
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Solution: Step 1: Recall the equation of motion: 2as = v^2 - u^2, where a = -9.8 m/s^2, v = 0 (at maximum altitude), and u = 882 m/s. Step 2: Substitute the given values: 2 * (-9.8) * s = 0 - (882)^2. Step 3: Solve for s: -19.6 * s = -777,924. Step 4: Calculate s: s = 777,924 / 19.6 = 39,690 meters. Step 5: Convert to kilometers for easier understanding: 39,690 meters = 39.69 kilometers.
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