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- A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h, (a) in what direction must the pilot head her plane to move directly north across land and (b) how long does it take her to reach a point 300 km directly north of her starting point?Suppose you add two vectors A and B . What relative direction between them produces the resultant with the greatest magnitude? What is the maximum magnitude? What relative direction between them produces the resultant with the smallest magnitude? What is the minimum magnitude?A shooter aims horizontally at a target at the unknown distance d: the same height as the shooter with the initial bullet speed vo. Th bullet misses the target by the vertical distance h. What was the distance d? Calculate its numerical value for v0 = 1500 m/s and h=1.5 cm.
- A cannon shoots a a large cannonball. The cannonball has a intital speed of 125 m/s. If the elevation angle was 32., what is the horizontal distance that the cannonball travel?1110. In Fig. P-1109, a ball thrown down the incline strikes it at a distance s 254.5 It. If the ball rises to a maximum height h 64.4 ft above the point of release, compute its initial velocity vo and inclination 6. Ans. v. = 80.5 ft per see; 0= 53.1° FIG. P-1109 and P-1110.1104. A projectile is fired with an initial velocity of 193.2 ft per sec upward at an angle of 30° to the horizontal from a point 257.6 ft above a level plain. What hori- zontal distance will it cover before it strikes the level plain? Ans. r 1340 ft 1105. Repeat Prob. 1104 if the projectile is fired downward at 30° to the hori- zontsl.
- A projectile is fired at the top of a building at an angle of 20° below the horizontal. If the muzzle velocity of the projectile is 8 m/s, how high is the building if the projectile reaches the ground after 3sec. DRAW FBD ANS: 52.35mAn archer standing on a 15° slope shoots an arrow 20° above the horizontál, as shown below. HOw for donn the Slope does the arrow hit if it is shot with a speed of 50.0 m/s from 1.75 m obove the ground? 15°A projectile is fired with an initial velocity of ϑA = 150 m/s off the roof of the building. Determine the range R in m where it strikes the ground at B.
- A trench mortar fires a shell at an angle of 30° with the horizontal and with a speed di 400 m/s. Find its range and the maximum height it attains.,lgnssin(20) where vo is the initial velocity in feet per second and is the angle of elevation. If yo 2300 feet per second and is changed from 13° to 14° use differentials to approximate the change in the range. Round your answer to the nearest integer. The range R of a projectile is R = Select one: Ⓒa. 2811 ft X b. 2593 ft C. 5623 ft d. 4568 ft 5186 ft e. = Incorrect 32A Canada goose flew 1.45 km [15.0 ̊ S of W] to feed, then it flew 1.64 km [70.0 ̊ S ofE] to its roosting location. Determine the goose’s displacement, using thegraphical/tip-to-tail method of vector addition. Answer to two significant digits.