A river of width' a'with straight parallel banks flows due north with speed u. The points O and A are on oppo banks and A is due east of O. Coordinate axes Ox and Oy are taken in the east and north directions respecti poat, whose speed is v relative to water, starts from O and crosses the river. If the boat is steered due east a varies with x as : u = = x(a – x), Find : Find : equation of trajectory of the boat
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- At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 8.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 55.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball? yards (b) What if? The receiver that catches the football travels 64.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?This problem will involve deriving a formula or two for a projectile launched from one height and angle and landing at a different height on Earth. Begin with a projectile launched at angle 0 above horizontal from a height y₁ with initial velocity Vo. The projectile lands at a point with height y₂. These are the given quantities: vo, 0, y₁, y2 and g. Construct formulae for each of the following, as. a function of given quantities the horizontal distance traveled. the maximum height reached. the time taken. the angle of impact. (find the final velocity components first).Asap
- 9. The displacement vectors A T and B shown in Figure P3.9 both have of magnitudes 3.00 m. The direction of vec- 30.0°. Find gra- tor A is 0 phically (a) А+ В, (Ь) А - В (c) B- A, and (d) A – 2B (Report all angles counterclock- wise from the positivex axis.)(a) You are standing on one side of a river and a tree is directly across from you. You then walk adistance d along the river and determine that now the tree is at an angle θ. How wide is the river?A plane travels north at speed v0 for a time t0 and then travels east at 12v0 for a time 3t0. (b) How farto the north did the plane travel? How far to the east? (c) What is the total distance the plane is awayfrom its initial position?A canoeist, capable of travelling at a speed of 4.5 m/s in still water, is crossing a river that is flowing with a velocity of 3.2 m/s [E]. The river is 2.2 x 102 m wide. Use component vectors from this course (not i and j vectors) . Q ) If the canoe is aimed northward, where is the landing position of the canoe relative to its starting position and what is the displacement of the canoeist?
- The captain of a small plane starts his journey by proceeding east. The speed of the plane with respect to still air is160 km/h. A sudden north wind starts to blow at a constant speed of 71.0 km/h. As seen by people on the ground, what is the angle made between the direction of motion of the plane with repectto the east?A river of width' a'with straight parallel banks flows due north with speed u. The points O and A are on opposite banks and A is due east of O. Coordinate axes Ox and Oy are taken in the east and north directions respectively. A boat, whose speed is v relative to water, starts from O and crosses the river. If the boat is steered due east and u varies with x as : u = x(a – x)- Find : absolute velocity of boatman when he reaches the opposite bankQuestion: Diego is getting hungry and acting like a typical saber-toothed tiger. He visualizes Sid as a hunk of meat and begins to chase him frantically around the ground. First, Sid darts 50.0 meters at 35.0° NoW and then turns abruptly and races 40.0 m S. If Manny ran from where they were originally standing to where Sid ended up, how far and in what direction would Manny have to run to break up the fight? Use the triangle method to solve this. Should you use the component method, I will award zero points. I know the answer I just don’t know how to get it. Answer: 42.5 m @ 15.5° SoW Thanks!!