(1) How much does the arrow clear the treetop if 6 = 30.0°? (A) 3.6 m; (B) 3.1 m; (C) 2.6 m; (D) 2.1 m; (E) 1.6 m. (2) What is the maximum horizontal range of the arrow if 0 can vary? (A) 212 m; (B) 242 m; (C) 272 m; (D) 302 m; (E) 332 m. (3) What is the range of 0 for the arrow to clear the treetop? (A) 29.9–86.0°; (B) 28.9–81.0°; (C) 27.9–76.0°; (D) 26.9–71.0°; (E) 25.9–66.0°.
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- (a) What is the magnitude of the vector (17î − 27) m/s?Find the x and y components of a position vector r>of magnitude r = 88 m, if its angle relative to the x axis is (a) 32.0° and(b) 64.0°.Problem 1 ( . You are on one bank of a river at height h want to jump across the river to the opposite bank, which is at the same height as the river horizontal distance d = 1.5 m away. = 2m above the river. %3D d (a) If you leave the bank of the river at an angle 0 = 30°, what initial speed do you need to just barely make it to the other side? (b) If you jump at this angle and with the speed you found in (a), what is your speed just before you land on the other side of the river? (c) Suppose that when you land on the other side of the fiver, an average force of 14 000 N brings you to rest. Assuming all of this force is exerted on your tibia, what is the percent change in the length of your tibia as you are landing? Assume the tibia has a cross-sectional area of 3 cm? and a Young's modulus of 1.4 x 1010 Pa.
- Problem 3: An arrow is shot from a height of 1.8 m toward a cliff of height H. It is shot with a velocity of 35 m/s at an angle of 60° above the horizontal. It lands on the top edge of the cliff 3.7 s later. What is the height H of the cliff in m? H = cos() asin() sin() tan() 7 8 9 HOME cotan() acos() 5 atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh() + END ODegrees O Radians vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! What is the maximum height reached by the arrow along its trajectory in meters? What is the arrow's speed just before hitting the cliff in m/s?A football kicker can give the ball an initial speed of 25.0 m/s. What are the (a) least and (b) greatest elevation angles at which he can kick the ball to score a field goal from a point 50.0 m in front of goalposts whose horizontal bar is 3.44 m above the ground? When doing this, you may want to research some trig identities to get a formula involving only tangent functions. Also, since there are two values of angle that will work, maybe the quadratic formula is involved.Obtain expressions in component form for the position vectors having the following polar coordinates. (a) 12.2 m, 140° counterclockwise from the +x axis R = m (b) 3.80 cm, 80.0° counterclockwise from the +x axis R cm (c) 20.0 in., 222° counterclockwise from the +x axis in.
- A projectile object reaches a height of 487 m, if it is fired straight up using a spring-loaded gun. Using the same gun, what is the maximum height that can be reached by the projectile if it fired at an angle of 21 ° from the vertical?The citizens of Paris were terrified during World War I when they were suddenly bombarded with shells fired from a long-range gun known as Big Bertha. The barrel of the gun was 36.6 m long, and it had a muzzle speed of 2.20 km/s. When the gun’s angle of elevation was set to 55.0°, what would be the range? For the purposes of solving this problem, ignore air resistance. (The actual range at this elevation was 121 km; air resistance cannot be ignored for the high muzzle speed of the shells.) kmFor the vectors a (a) Number as (b) a magnitude and (c) an angle (relative to î in the range of (-180°, 180°]). Now give bain (d) unit-vector notation, and as (e) a magnitude and (f) an angle (relative to î in the range of (-180°, 180°]) (b) Number (c) Number (d) Number = (3.0 m )î + (4.0 m )ĵ and 7 = (5.0 m )î + ( − )î + ( (f) Number i (e) Number i î + Units Units Î+ Units − 2.0 m )î,give a + b in (a) unit-vector notation, and Units ◄► ◄► Ĵ Units Ĵ Units
- 7. A cliff with an angled summit 900 m above the valley floor is a popular jumping off point for base jumpers. One particular base jumper gets a running start and runs off the side of the cliff with a velocity of 4.00 m/s at an angle that is 25.0° below the horizontal, as shown. (a) How long is the base jumper in the air before she opens her parachute 150 m above the valley floor? (b) How far (horizontally) is she away from the cliff? VoA baseball is hit from a height of 1.0 m at an angle of 27 degrees above the ground. It just barely clears a fence that is 4.0 m tall and 122 m away. What was the initial speed of the ball when it was hit? (ignore air resistance)Here are two vectors: [4.00m 4.00 m and b 6.00 m + (8.00 m What are |(f) the angle of a + ; (g) the magnitude and (h) the angle of D - a ; and (i) the magnitude and (j) the angle of a - b? (State your angle as a positive number.) (k) What is the angle between the directions of a - b ? and (a) Number 5.7 Units (b) Number Units ° (degrees) -45 (c) Number 10 Units (d) Number Units P (degrees) 53.13 (e) Number 10.77 Units (f) Number Units (degrees) 29.68314017