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If a ball is thrown vertically upward with a velocity of 120 ft/s, then its height after t seconds is s=120t-16t^2 What is the velocity of the ball when it is 96 ft above the ground on its way up?
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a laboratory designed a radio telescope with a diameter of 320 feet and a maximum depth of 42 feet. the graph depicts a cross section of this telescope. find the equation of this parabola.
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a rock falls from a tower that is 288 feet high. as it is falling its height is given by the function h(t)=288-16t2. how many seconds will it take the rock to hit the ground (h=0).
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The angle of elevation to the top of a building changes from 20 degrees to 40 degrees as an observer advances 75 feet toward the building. Find the height of the building to the nearest foot.
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the function I(t)=-0.1t2+1.8t represents the yearly income or loss from a real estate investment where t is time in years. after what year does income begin to decline.
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A certain bacteria population is known to doubles every 150 minutes. Suppose that there are initially 120 bacteria.
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An airplane is flying in the direction 148 degrees with an airspeed of 860 km/h. Because of the wind, its groundspeed and direction are, respectively, 800 km/h and 140 degrees. Find the direction and speed of the wind.
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f(-3)=6 and f(1)=-2
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Tony and Sue are launching yard darts 20 ft from the front edge of a circular target of radius 18 in. on the ground. If Tony throws the dart directly at the target, and releases it 3 ft above the ground with an initial velocity of 30 ft/sec at 70 angle, will the dart hit the target?
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ln(5)+ln(x)=1
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