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A small plane flying at a speed of 180 miles per hour on a bearing of N50E. the wind is blowing from west to east at 40 miles per hour. Let v represent the velocity of the plane in still air and w represent the velocity of the wind.
a. Express v and w in terms of their magnitudes and direction angles
b. Find the resultant vector v+w
c. The magnitude of v and w, called the ground speed of the plane, gives its speed relative to the ground. Approximate the ground speed to the nearest mile per hour.
d. The direction angle of v+w gives the planes true course relative to the ground. Approximate the true course to the nearest tenth of a degree. What is the planes true bearing?
A person bounces up and down on a trampoline, while always staying in contact with it. The motion is simple harmonic motion, and it takes 1.98 s to complete one cycle. The height of each bounce above the equilibrium position is 54.0 cm.
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A 240 horsepower car beginning at a stop goes 1/10 of a mile. At optimum performance, what is the maximum speed in miles per hour the car can reach? Feet per minute?
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The March 1 unpaid balance in an account was $115. On March 8, a payment of $35. was made.No new purchases were made in March. The finance charge rate was1.3% per month of the average daily balance. Find the new balance at the end of March.
The United States House of Representatives has 78 women representative with 59 being democrats and 19 being republicans. If a lobbyist for AARP randomly selects three different representatives to visit what is the probability
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The price of a television set on sale is $360. This is two thirds of the regular price. Find the regular price.
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Find the equation of a parabola whose vertex is (0,0) and directrix is the line y=3. Find the vertex, focus, and directrix of (x-2)^2=12(y+1). Find the latus rectum and graph the parabola, making sure that all points and axis are labeled.
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