Fireworks Fireworks were launched with an upward velocity of 64 ft/sec from a platform 80 feet above the ground. The height h(t) of the cardboard shell containing the fireworks is given by : ht 16t 2 64t 80 What is the height of the shell 64 ft/sec 2 seconds after launch? 80 How many seconds elapse before feet the (spent) shell drops back to the ground? Picture Frame A picture frame measures 14 inches by 20 inches along the outside and has 160 in2 of picture showing. 14 inches How wide is the frame? 160 in2 20 inches Geometry From geometry there is only one right triangle whose sides can be given by 3 consecutive integers. What are they? Antenna Height A 20 foot long guide wire is stretched from the top of an antenna tower to the ground. The height of the antenna tower is 4 feet more than the distance from the base of the tower to the ground end of the wire. What is the height of the tower? 20 feet Cost and Revenue The cost of making x doohickeys is given by the function 1 2 Cx x 2x 1 9 The revenue function for doohickeys is 5 2 Rx x 2x 36 What is the cost of making 20 doohickeys? What is the revenue from selling 20 doohickeys? At what production level does cost equal revenue (this is known as the break-even point)? The “Famous” Box Problem A rectangular piece of cardboard is twice as long as it is wide. Squares 2 inches on a side are cut out of each corner and the resulting flaps are turned up to make a box whose volume is 480 in3. What are the original dimensions of the piece of cardboard ? 2x 480 in3 x 2 in.
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