Vertical Motion In Exercises 101 and 102, use the position function
A silver dollar is dropped from the top of a building that is 1362 feet tall.
(a) Determine the position and velocity functions for the coin.
(b) Determine the average velocity on the interval [1, 2].
(c) Find the instantaneous velocities when
(d) Find the time required for the coin to reach ground level.
(e) Find the velocity of the coin at impact
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Calculus: Early Transcendental Functions
- Hooke’s Law In Exercises 65-68, use Hooke’s Law, which states that the distance a spring stretches (or compresses) from its natural, or equilibrium, length varies directly as the applied force on the spring. The coiled spring of a toy supports the weight of a child. The weight of a 25-pound child compresses the spring a distance of 1.9 inches. The toy does not work properly when a weight compresses the spring more than 3 inches. What is the maximum weight for which the toy works properly?arrow_forwardHooke’s Law In Exercises 65-68, use Hooke’s Law, which states that the distance a spring stretches (or compresses) from its natural, or equilibrium, length varies directly as the applied force on the spring. An overhead garage door has two springs, one on each side of the door. A force of 15 pounds is required to stretch each spring 1 foot. Because of a pulley system, the springs stretch only one-half the distance the door travels. The door moves a total of 8 feet, and the springs are at their natural lengths when the door is open. Find the combined lifting force applied to the door by the springs when the door is closed.arrow_forwardVertical and Horizontal Tangent Lines In Exercises 67and 68, find the points at which the graph of the equation hasa vertical or horizontal tangent line.67. 25x2 + 16y2 + 200x − 160y + 400 = 0arrow_forward
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