1.) An airplane flies 200 km due west from city A to city B and then 240 km in t

Question

1.) An airplane flies 200 km due west from city A to city B and then 240 km in the direction of 27.0° north of west from city B to city C.(a) In straight-line distance, how far is city C from city A?
(b) Relative to city A, in what direction is city C?class="apple-style-span">color="red">color="red">class="apple-style-span">

(c) Why is the answer only approximately correct? class="apple-style-span">

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2.) A vector has an x-component of 25.5 units and a y-component of 54.5 units. Find the magnitude and direction of the vector.color="red">class="apple-style-span">class="apple-style-span">class="apple-style-span">class="apple-style-span">

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3.) A ball is thrown so that its initial vertical and horizontal components of velocity are 50 m/s and 25 m/s, respectively. Use a motion diagram to estimate the ball's total time of flight and the distance it traverses before hitting the ground. (Use 10 m/s2 as the acceleration of gravity.)style="font-size: 0.8em; ">class="nobr">color="red">color="red">class="apple-style-span">class="apple-style-span">

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4.) A ball is thrown so that its initial vertical and horizontal components of velocity are 50 m/s and 25 m/s,respectively. Estimate the maximum height the ball reaches. (Use 10 m/s2 as the acceleration of gravity.)style="font-size: 0.8em; ">class="nobr">color="red">class="nobr">color="red">class="nobr">class="apple-style-span">class="apple-style-span">

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An airplane flies 200 km due west from city A to city B and then 240 km in the direction of 27.0 degree north of west from city B to city C.(a) In straight-line distance, how far is city C from city A? (b) Relative to city A, in what direction is city C? Why is the answer only approximately correct? A vector has an x-component of 25.5 units and a y-component of 54.5 units. Find the magnitude and direction of the vector. A ball is thrown so that its initial vertical and horizontal components of velocity are 50 m/s and 25 m/s, respectively. Use a motion diagram to estimate the ball's total time of flight and the distance it traverses before hitting the ground. (Use 10 m/s2 as the acceleration of gravity.) A ball is thrown so that its initial vertical and horizontal components of velocity are 50 m/s and 25 m/s,respectively. Estimate the maximum height the ball reaches. (Use 10 m/s2 as the acceleration of gravity.) An Alaskan rescue plane drops a package of emergency rations to stranded hikers, as shown in the figure. The plane is traveling horizontally at 36.0 m/s at a height of 1.15 An airplane flies 200 km due west from city A to city B and then 240 km in the direction of 27.0 degree north of west from city B to city C.(a) In straight-line distance, how far is city C from city A? Relative to city A, in what direction is city C? Why is the answer only approximately correct? A vector has an x-component of 25.5 units and a y-component of 54.5 units. Find the magnitude and direction of the vector. A ball is thrown so that its initial vertical and horizontal components of velocity are 50 m/s and 25 m/s, respectively. Use a motion diagram to estimate the ball's total time of flight and the distance it traverses before hitting the ground. (Use 10 m/s2 as the acceleration of gravity.) A ball is thrown so that its initial vertical and horizontal components of velocity are 50 m/s and 25 m/s,respectively. Estimate the maximum height the ball reaches. (Use 10 m/s2 as the acceleration of gravity.) An Alaskan rescue plane drops a package of emergency rations to stranded hikers, as shown in the figure. The plane is traveling horizontally at 36.0 m/s at a height of 1.15

Explanation / Answer

let north be denoted by unit vector j and east by unit vector i.

then total displacement from A to C=-200 i +240*(-cos 27 i +sin 27 j)=-413.84 i +108.95 j

so total displacement=427.94 km

direction=14.75 north of west

2)magnitude=60.17 units

direction=64.92 degrees

3)time taken to hit the ground=2*50/10=10 sec

so distance traversed=10*25=250 m

4)max height=50^2/(2*10)=12.5 m

5)figure is not given.

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