A.)For the problem below, the magnitudes of the horizontal and vertical vector c

Question

A.)For the problem below, the magnitudes of the horizontal and vertical vector components, Vx and Vy, of vector V are given. In this case find the magnitude of V. (Round your answer to one decimal place.)

|Vx| = 30.0, |Vy| = 24.0 V=

B.)A ship is 2.8° off course. If the ship is traveling at 14.0 miles per hour, how far off course will it be after 2 hours? (Round your answer to two decimal places.) How many miles?

C.)A bullet is fired into the air with an initial velocity of 1,100 feet per second at an angle for 45° from the horizontal. What is the horizontal distance traveled by the bullet in 4seconds? (Neglect the resistance of air on the bullet. Round your answer to the nearest whole number.)

D.)An ecologist wishes to find the height of a redwood tree that is on the other side of a creek, as shown in the figure below. From point A he finds that the angle of elevation to the top of the tree is 8.9°. He then walks 24.8 feet at a right angle from point A to point B. There he finds that the angle between AB and a line extending from B to the tree is 85.1°. What is the height h of the tree? (Round your answer to one decimal place.)

H= ____ft.

Explanation / Answer

a)v=sqrt(vx^2 +vy^2)

=sqrt(30^2 +24^2)

=sqrt(1476)

=38.4

b)how far off course =t* v tan

=2*14 tan2.8o

=1.37miles

c) horizontal distance traveled by the bullet=t*v cos

=4*1100*cos45o

=3111 ft

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