The path of projectiles are parabolic in nature. If an object is released with an initial velocity, ?0, at an angle of 0 degrees and at some height (h), will it still follow the parabolic path? Prove your answer by plotting its position in an x-y plane. To plot the position, you can assume values of the parameters.
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- Consider a projectile being launched with an initial speed of 43 m/s at a variety of initial angles. Refer to the figure. What is the range, in meters, of the projectile if it is launched at an angle of θ1 = 79.7°? What is the range, in meters, of the projectile if it is launched at an angle of θ2 = 40.5°? What is the range, in meters, of the projectile if it is launched at an angle of θ3 = 90 − 79.7°, the complement of θ1?I need the answer to DThe three vectors in the figure have magnitudes a = 3.20 m, b = 3.20 m, and c = 10.2 m and angle e = 43.0°. What are (a) the x component and (b) the y component of á ; (c) the x component and (d) the y component of b; and (e) the x component and (f) the y component of ? If 7 = pd + qb, what are the values of (g) p and (h) q? (a) Number Units (b) Number Units (c) Number |Units (d) Number Units (e) Number Units (f) Number |Units (g) Number Units (h) Number Units
- A car comes to a bridge during a storm and finds the bridge washed out. The driver must get to the other side, so he decides to try leaping it with his car. The side the car is on is 20.3 mm above the river, whereas the opposite side is a mere 1.6 mm above the river. The river itself is a raging torrent 57.0 mm wide. For help with math skills, you may want to review: Vector Magnitudes For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Different initial and final heights. a. How fast should the car be traveling just as it leaves the cliff in order to just clear the river and land safely on the opposite side? Express your answer in meters per second. b. What is the speed of the car just before it lands safely on the other side? Express your answer in meters per second.You can use any coordinate system you like in order to solve a projectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity v at an angle 0 with respect to the horizontal. Let the building be 54.0 m tall, the initial horizontal velocity be 9.10 m/s, and the initial vertical velocity be 10.5 m/s. Choose your coordinates such that the positive y-axis is upward, and the x-axis is to the right, and the origin is at the point where the ball is released. (a) With these choices, find the ball's maximum height above the ground and the time it takes to reach the maximum height. maximum height above ground time to reach maximum height (b) Repeat your calculations choosing the origin at the base of the building. maximum height above ground time to reach maximum heightA plane is coming into land at YVR its ground speed (horizontal speed measured relative to the ground) is 273 km/h. At the same time its vertical altitude is decreasing at 45.7km/h. 1. What is the magnitude of the plane velocity vector? 2. The direction the plane is traveling is 10 degrees south of west. Taking the y-axis as being due north and the x-axis as being due east and the z-axis straight up, what is the velocity vector of this plane in i, j, k notation?
- (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?Vector M has an x-component of 8.5 km and a y-component of 16.0 km. What is the length of Vector M?These are the component forms of vectors u and w: ū u = (-4,-3) w = (–1,5) Add the vectors. u+w=
- How do we calculate ?A drone's velocity at two times 10 s apart is given by the following vectors: ( 7 17 ) m/s ( 12 3 ) m/s Find the direction of the change in velocity vector . Take to the right as +x and up as +y. Give answer between zero and 360 degrees counterclockwise from the +x axis. Make sure you get the correct quadrant and that your calculator is in degrees.