2. Your friend is stranded on the other side of a canyon, as shown below. He's getting hungryand so you decided to throw him a banana. You throw the banana with an initial velocity of20 m/s at and angle 37° above the horizontal. The canyon is 8 m wide and your friend is on aplateau that is 5 m above your elevation.(a) Find the horizontal (x) and vertical (y) components of the banana's initial velocity.(b) Determine whether or not the banana will reach your friend on his side of the canyon (i.e.,will he get to eat the banana?).

Step 1:Given:The projection speed of the banana: vi=20 m/sThe angle of projection above horizontal:…

Answered: 2. Your friend is stranded on the other…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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10. The captain of a small plane starts his journey by proceeding east. The speed of the plane with respect to still air is 160 km/h. A sudden north wind starts to blow at a constant speed of 71.0 km/h. What is the speed of the plane relative to the ground if no action is taken by the pilot? km/h f60s ssf60b f60 ssf60 0 ssf60 ss. sf60 ssf60 50 ssf60 s
6 m/s 39° 1 m 1. A cat jumps off a dresser that is 1 m high. The initial velocity of the cat is 6 m/s at an angle of 39° above the horizontal. How far out from the edge of the dresser does the cat strike the floor? Show your calculations. Refer help sheets next page.
1. A ball is thrown upwards with an initial velocity of ; = 44 m/s at an angle of above the horizontal. It travels a distance Ar = 75 m in the horizontal direction and lands at its original height. What is 0? (Hint 1: examine the ball's motion in both the x and y directions. Hint 2: you may need to use that sin(0) cos(0) = (1/2) sin(20). Hint 3: There are two solutions to this problem; try to find both.) Take g = 9.81 m/s² and show all your work.
1. stone is thrown from the bottom of a building upward at an angle of 60.0° to the horizontal with an initial speed of v=10.0 m/s as shown in figure. What is the magnitude and direction of the stone's velocity just before it strikes the ground? 600
A projectile is launched at an angle of 30°to the horizontal from 6.5 ft above the ground at an initial speed of 100ft/sec. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors for t≥0. b. Determine the time of flight and range of the object. c. Determine the maximum height of the object.
* 16. In the most bizarre wildlife documentary ever made, Animal Kingdom has filmed a rainbow trout leaping from a pond with an initial velocity of 35 m/s at an the horizontal. Three seconds later, the trout lands in a pickle jar filled with water that is sit- ting on top of a telephone pole. angle of 37° above 35 m/s 37° Note: Picture not drawn to scale. a) How far is the telephone pole from the place where the trout leaves the water? b) What is the greatest height above the water attained by the trout during the jump? c) What is the speed of the trout when it goes through the mouth of the jar? d) How much higher is the mouth of the pickle jar than the surface of the pond?
1. A rock is thrown off a cliff at an angle of 51 with respect to the horizontal. The cliff is 126 m high. The initial speed of the rock is 24 m/s. (a) Fill in the following: Vo Vox Voy || || ✓ m S ES = ES m (b) VX (c) V (d) In your notebook, draw a sketch of the problem. Select the direction along the along the vertical axis (y-axis) that is positive (upwards or downwards). Select the direction along the along the horizontal axis (x-axis) that is positive (left or right). Select an origin. Draw the vectors for Vo, Vox Voy" V, Vx, Vy, ax, a¸. Label on your diagram the initial and final positions of the rock x, y, and xƒ‚ Yf. (e) How high above the edge of the cliff does the rock rise? Ay= m 00 (f) How far has it moved horizontally when it is at maximum altitude? Δx= m (g) How long after the release does it hit the ground? ground= (h) What is the range of the rock? Ax total ✔m S (i) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at t = 4 s.…
Consider (Figure 1). Figure 00 6 m O 3 m ▾ ▾ Part A Determine the minimum initial velocity at which the ball must be kicked in order for it to just cross over the 3-I high fence. Express your answer using three significant figures and include the appropriate units. v0 = Submit Part B 0 = Value Submit Request Answer Provide Feedback Determine the corresponding angle at which the ball must be kicked. Express your answer in degrees using three significant figures. ΜΠΑΣΦ 41 vec 4 → CE ? → Request Answer E ? Units O
A cannon is placed on high ground 24 ft above a target that is 1000 ft away horizontally. It fires a projectile upward at a 45° angle with an initial speed of vo ft/s. What value of vo is necessary for the projectile to hit the target? The acceleration due to gravity is g= 32 ft/s2. Select one: a. Vo 150 Ob. Vo V500 с. Vo 100/2 d. Vo 125 2 e. Vo 250

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