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Calculus, Early Transcendentals
- Motion on the moon The acceleration due to gravity on the moonis approximately g/6 (one-sixth its value on Earth). Compare thetime of flight, range, and maximum height of a projectile on themoon with the corresponding values on Earth.arrow_forwardShadow Length A man 6 feet tall walks at a rate of 2 feet per second away from a light that is 15 feet above thế gPound (se y 16 12 8. 4 8. 12 16 20 (a) When he is 10 feet from the base of the light, at what rate in (ft/s) is the tip of his shadow moving? ft/s (b) When he is 10 feet from the base of the light, at what rate (in ft/s) is the length of his shadow changing?arrow_forwardApplication of Differentiation to Motion A missile is launched vertically upwards from the ground. At a time t seconds after launch, its height, x metres, above the ground is given by the formula x = 24.5t – 4.5t². You are required to find the initial velocity of the missile and its velocity on impact (when it hits the ground). d.x Firstly, differentiate: dt Initial velocity, in metres per second, is: Round your answer to 3 decimal places. Time it returns to ground, in seconds, is: Round your answer to 3 decimal places. Velocity on impact, in metres per second, is: Round your answer to 2 decimal places.arrow_forward
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