A plane flies 471 km east from city A to city B in 42.0 min and then 919 km south from city B to city C in 1.40 h. For the total trip, what are the (a) magnitude and (b) direction of the plane's displacement, the (c) magnitude and (d) direction of its average velocity, and (e) its average speed? Give your angles as positive or negative values of magnitude less than 180 degrees, measured from the +x direction (east).
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- A plane flies 479 km east from city A to city B in 45.0 min and then 950 km south from city B to city C in 1.10 h. For the total trip, what are the (a) magnitude and (b) direction of the plane's displacement, the (c) magnitude and (d) direction of its average velocity, and (e) its average speed? Give your angles as positive or negative values of magnitude less than 180 degrees, measured from the +x direction (east).The figure shows the path taken by a drunk skunk over level ground, from initial point i to final point f. The angles are 01-32.0°, e2 = 49.0°, and 03 = 84.0°, and the distances are di 4.80 m, d2 = 7.30 m, and d3 = 10.0 m. What are the (a) magnitude and (b) angle of the skunk's displacement from i to f? Give the angle as a positive (counterclockwise) or negative (clockwise) angle of magnitude less than 180°, measured from the +x direction. dz dg (a) Number 5.586 Units (b) Number 135 Units * (degrees)While exploring a cave, a spelunker starts at the entrance and moves the following distances in a hori- zontal plane. She goes 75.0 m north, 250 m east, 125 m at an angle u 5 30.0° north of east, and 150 m south. Find her resultant displacement from the cave entrance. Figure P3.21 suggests the situation but is not drawn to scale.
- An airplane leaves the runway heading south and flies for 2000km. It then heads 20 degree west to avoid a storm. After flying for 500km, it turns 40 degree toward the east and flies another 400km to its final destination. Calculate the displacement of the plane;s destination and the distance it travelled.a women walks 250 m in the direction of 30º east of north, then 175 m directly east. find (a) the magnitude and (b) the angle of her final displacement from the starting point (c) find the distance she walks (d) which is greater, that distance or the magnitude of her displacement?The figure shows the path taken by a drunk skunk over level ground, from initial point i to final point f. The angles are e, = 32.0°, e, = 49.0°, and0z = 84.0°, and the distances are d= 4.80 m, d2 = 7.30 m, and dz = 10.0 m. What are the (a) magnitude and (b) angle of the skunk's displacement from i to f? Give the angle as a positive (counterclockwise) or negative (clockwise) angle of magnitude less than 180°, measured from the +x direction. de (a) Number Units (b) Number Units
- A plane flies 493 km east from city A to city B in 45.0 min and then 983 km south from city B to city C in 1.30 h. For the total trip, what are the (a) magnitude and (b) direction of the plane's displacement, the (c) magnitude and (d) direction of its average velocity, and (e) its average speed? Give your angles as positive or negative values of magnitude less than 180 degrees, measured from the +x direction (east). (a) Number i Units (b) Number Units (c) Number i Units (d) Number i Units (e) Number Units IISection 1O 1. A girl walks 60. m due south, then 100. m due east, then 150. m due north. (a) What is her displacement from her original position? (b) What is the total distance walked by the girl? (c) In which direction should she walk to return to her starting point in the least amount of time? Express your answer in terms of the compass directions (north, south, east, and west) 623A helicopter has a speed in calm air of 170 kmh- and it's travelling on a bearing of 120° relative to the air. The wind is blowing at a speed of 30 kmh from the south-west. Take unit vectors i to point east and j to point north. (a) Express the original velocity b of the helicopter relative to the air and the velocity w of the wind in component form, giving the numerical values in km h-1 to two decimal places. (b) Express the resultant velocity v of the helicopter in component form, giving numerical values in km h-¹ to two decimal places. (c) Hence find the magnitude and direction of the resultant velocity v of the helicopter, giving the magnitude in km h−¹ to one decimal place and the direction as a bearing to the nearest degree.
- An object travels from the origin along a curved path as shown. If its horizontal velocity vx = 8t m/s, where “t” is in seconds, determine the position, velocity and acceleration vector (Cartesian Form) and their magnitudes also from the origin at t=2 seconds.Two beetles run across flat sand, starting at the same point. Beetle 1 runs 0.53 m due east, then 0.89 m at 29o north of due east. Beetle 2 also makes two runs; the first is 1.54 m at 49o east of due north. What must be (a) the magnitude and (b) the direction (relative to the east direction in the range of (-180°, 180°)) of its second run if it is to end up at the new location of beetle 1?You take a three-day hiking. On the first day, you travel 5.0 km heading East. On the second day you’ve enjoyed the scenery so much that you forgot to take note how far you have walked and in what direction. On the third day, after wandering for 8.5 km and in the direction 37o South of West, you find yourself in the base camp where you have started (which means the total displacement is zero). Determine your displacement during the second day of your trip.