A ball is fired (álbi) from the ground with an initial velocity of 20 m/s that makes an angle of 30° above the horizontal direction. The magnitude of its horizontal velocity after 1 sec of its launch ( is:
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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?In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 130 km and 25.0 of west, then 5.10 km due east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?An aircraft travels at 45 km/h towards 35ᴼ SE then turns 40ᴼ WS with a velocity of 72 km/h. What is the magnitude of its resultant velocity?
- An artilery sheill is fired with an Initial velocityY of 300 m/s at 45.0° above the horizontal. To clear an avalanche, it explodes on a mountalnside 41.5 s after firing. What are the x- and y-coordinates of the shetl where it xplotes, relative to its firing point? in tn Etn Arwer1110. 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.An arrow is shot from a height of 1.8 m toward a cliff of height H. It is shot with a velocity of 26 m/s at an angle of 60º above the horizontal. It lands on the top edge of the cliff 5.24 s later. What is the height of the cliff?
- A ball thrown down the inclined strikes it at an inclined distance of 75m If the ball rises to a maximum height of 20m above the point of release. Compute the initial velocity and the projectile angle from horizontal (Say slope ofinclined is is 1V:3H) Choose the correct answer: a. 30m/sb. 54 3degc. 16.67m/sd. 24.4m/se. 43.2degf. 33.3degg.17.4m/sh. 45degi. 20.7m/sj. 23.6degA tennis player hits the tennis ball at a distance of 10 m from the net. The ball is hitat a height of 1.2 m above ground so that it starts moving with a velocity of 30 m/s ina horizontal direction (parallel to the ground). The height of the net is 90 cm. What is the angle the tennis player has to hit the ball so it will just clear thenet?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- ontal distance will it cover before it strikes the level plain? Ans. a 1340 ft 1106. Repeat Prob. 1104 if the projectile is fired downward at 30° to the hori- ontal.
- sin(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 3210. A projectile is launched with an initial speed of 166.0m/s at an angle of 55.0° above the horizontal. (a)lf the time of flight is 42 s, what are the x and y coordinates at impact? b.) what is the impact velocity?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.