A projectile is shot perfectly horizontally with a speed of 7.02 m/s, and a height of 6.14 m. How far off the ground will it be after 0.459 s? Express your answer in meters to 3 significant figures. Use g=9.81 m/s².
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- S. A stone thrown horizontally from the top of a tall building takes 7.56 s to reach the street. How high is the building?Use the component method to add the vectors A and B shown in Figure P3.9. Both vectors have mag- nitudes of 3.00 m and vector A makes an angle of 0 = 30.0° with the x axis. Express the resultant Á + B in unit-vector notation.Problem 2.10 og.. KX², An airplane takes off as shown following a trajectory described by equation y = where K = 2x 10-4 ft. When x = 1200 ft, the speed of the plane is to = Using the component system shown, provide the expression for the velocity of the air- plane when x = 1200 ft. Express your answer in ft/s. 110 mph. =kx (oso STAD- 2kx y V*V₂ (cosbg+55 69) Figure P2.10 path of A
- 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.Section 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 quarterback throws a football while standing at the very center of the field on the 50 yard line. The ball leaves his hand at a height of 6 ft and has initial velocity vo = 51i +37j + 27k ft/s. Assume an acceleration of 32 ft/s² due to gravity and that the i vector points down the field toward the endzone and the j vector points to the sideline. The field is 150 ft in width and 300 ft in length. Determine the position function that gives the position of the ball t seconds after it is thrown. The ball is caught by a player 6 ft above the ground. Assume the player is standing vertically with both toes on the ground at the time of reception. (Use symbolic notation and fractions where needed.) r(t) = Incorrect (511 +16 Incorrect 1672 )i + (37t+6)j + (6t+27t- (61 +271 - ( 16 ) ₁³ ) K) 3 Is the player in bounds or out of bounds when he receives the ball? The player is in bounds. The player is out of bounds. Falle
- A quarterback throws a football while standing at the very center of the field on the 50 yard line. The ball leaves his hand at a height of 5 ft and has initial velocity vo = 51i +37j + 27k ft/s. Assume an acceleration of 32 ft/s² due to gravity and that the i vector points down the field toward the endzone and the j vector points to the sideline. The field is 150 ft in width and 300 ft in length. Determine the position function that gives the position of the ball t seconds after it is thrown. The ball is caught by a player 5 ft above the ground. Assume the player is standing vertically with both toes on the ground at the time of reception. (Use symbolic notation and fractions where needed.) r(t): =A quarterback throws a football while standing at the very center of the field on the 50 yard line. The ball leaves his hand at a height of 6 ft and has initial velocity vo = 51i + 37j + 27k ft/s. Assume an acceleration of 32 ft/s² due to gravity and that the i vector points down the field toward the endzone and the j vector points to the sideline. The field is 150 ft in width and 300 ft in length. Determine the position function that gives the position of the ball t seconds after it is thrown. The ball is caught by a player 6 ft above the ground. Assume the player is standing vertically with both toes on the ground at the time of reception. (Use symbolic notation and fractions where needed.) r(t) = Is the player in bounds or out of bounds when he receives the ball? The player is in bounds. O The player is out of bounds.A small aircraft for one person is used on a short horizontal flight. On its journey from A to B, lhe resultant velocity of the aireraft is 15 m s in a direction 60° east of north and the wind velocity is 7.5 ms due north. N 4 60 A Figure 1.20 Show that for the aircraft to travel from A to B it should be pointed a due east. b After flying 5 km from A to B. the aircraft returns along the same path from B to A with a resultant velocity of 13.5ms-. Assuming that the time spent at B is negligible, calculate the average speed for the complete journey from A to B and back to A. B.
- A car P travels along a straight road with a constant speed v = 79 mi/hr. At the instant when the angle 0 = 69°, determine the values of r in ft/sec and 0 in deg/sec. Assume/= 130! Answers: r = 0 = i i 18 Ma V. ft/sec deg/secProblem 1: т Your bow can fire arrows at 70÷. You shoot an arrow straight up into the air. After 1 second, you shoot another S arrow into the air. a) If you are shooting the arrows from 2 m above the ground, how far above the ground do the arrows collide? (Answer: 251 m) b) What are the velocities of the arrows when they collide? (Answer: ỦA c) On a single graph, plot y-position vs time for each arrow. This should show the intersection of where and when they collide. -4.9ŷ" vB = 4.99) т Sthe court is the tennis ball when it leaves the racket? Ans: 1.83 m SUL des Bud Question 3. A marble is thrown horizontally with a speed of 19.2 m/s from the top of a building. When it strikes the ground, the marble has a velocity that makes an angle of 39° with the horizontal. From what height above the ground was the marble thrown? Ans: 12.33 m lage vob Y Question 4. A horizontal rifle is fired at a bull's-eye. The muzzle speed of the bullet is 640 the hullot strikes the target.