1 Let u= 1/5. After separation from W, U continues to fall. Find velocity v of U when it impacts the ground.
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- 95 N. 55 N O 55 N. 95 N A baseball is thrown by the centerfielder (from shoulder level) to home plate where it is caught (on the fly at shoulder level) by the catcher. At what point is the magnitude of the ball's velocity at a minimum? (air resistance is negligible) * just after leaving the centerfielder's hand just before arriving at the catcher's mitt at the top of the trajectory velocity is constant during entire trajectory A ball is rolled off a table with an initial speed of 0.24 m/s. A stopwatch measures the ball's trajectory time from table to the floor to be 0.3 s. What is the height of the table? (g = -9.81 m/s2 and air resistance is negligible) IAProblem 4 Derive expressions for the velocity (7) and acceleration (a) vectors in spherical coordinates. That is, transform and a from the Cartesian system of (x, y, z) to (r, 0, 0).A student fires a cannonball diagonally upwards with an initial speed v at an angle 0 as shown. Determine all unknowns and answer the following questions. Neglect drag and the initial height of the cannonball. Calculate the total flight time (t) and range (r) in each of the following cases. v [m/s] e [º] t [s] r [m] 30.0 40.0 50.0 60.0 60.0 55.0 55.0 55.0 55.0 75.0 00000 0
- An engineering student throws a calculator straight up to a COVID-quarantined friend, who is leaning out a window 5.12 m above. The friend catches the calculator 1.43 s later and immediately sanitizes it and her hands. Taking up as the positive direction, find the calculator's velocity v just before it was caught.Calculate the magnitudem L 4. A box with a mass m = 0.4 kg is released from rest at the top of a curved section of a track that is one quarter of a circle with a radius R = 0.2m. When the box reaches the bottom of the curved track it slides on a horizontal section of the track. There is no friction on the curved section of the track. a. Find the velocity of the box at the bottom of the curved section of the track. b. Find the normal force on the block when it is at the bottom of the circular section of the ramp. If there is a Resistive force F on the horizontal section of the track and is given as a function of speed by F=-4v² c. Write down the differential equation for the speed of the block. 1 d. Show that the solution can be written as: v = 0.5 + 10t
- Danielle launches a ball off of a platform of height h with velocity vo at an angle 0 above the horizontal. A wall with a ball-sized hole a height H above the floor, with H > h, is a horizontal distance L = 24.0 m away from Danielle. The difference in height between H and h is one-twelfth of L, and the square of the magnitude of the velocity, v, is three-halves of the product gL. H 1 H – h = h 3 L Determine the two values of 0 that ensure the ball passes through the hole. Submit the larger angle as 0, and the smaller angle as 02.14The banded archerfish is a species of fish that lives in mangrove estuaries in Asia and Oceania. It has a unique and highly effective hunting strategy: it shoots an incredibly precise stream of water out of its mouth at almost ten meters per second, knocking insects and other small animals into the water from nearby branches! Pom Fbug (t) Ө = Our hero, a hungry archerfish, has spotted a big, delicious bug sitting on a branch a height ħ above the surface of the water. The archerfish can shoot its water jet at a speed of vo. The archerfish wants to knock the bug sideways off of the branch, so it decides to shoot so that its water jet is moving horizontally at the moment when it strikes the bug. The final goal of this problem is to find the horizontal distance, d, from the branch, and the angle above horizontal, 0, at which archerfish should shoot. d (a) What are the position and velocity of the water droplet as a function of time and the position and velocity of the bug as a function of…
- A fighter plane moving 211.0 m/s horizontally fires a projectile with speed 47 m/s in a forward direction 30.0° below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground? a) 240 m/s b) 283 m/s c) 253 m/s d) 278 m/sAn experimentalist in a laboratory finds that a particle has a helical path. The position of this particle in the laboratory frme is given by r(t)= R cos(wt)i + R sin(wt)j + vztk R,vz, and w are constants. A moving frame has velocity (Vm)L= vzk relative to the laboratory frame. In vector form: A)What is the path of the partical in the moving frame? B)what is the velocity of the particle as a function of time relative to the moving frame? C)What is the acceleration of the particle in each frame? D)How should the accelerartion in each frame be realted?Does your answer to part c make sense?E (2) Pars ats to the other side c) Calculate the otter's velocity, relative to the bank from where it started. viszsub ain biz silto ortof 5 67 18010 Your flight to your friend's house in Halifax has a short layover in Toronto. Your total flight time is 6.25 hours. The first flight to Toronto covers a distance of 2700 km [35.07 of E], and the second flight to Halifax covers a distance of 1280 km [10.0° N of E]. Total: 6.25 hours a) What was the total distance you traveled? Show all work. flight 1: 2700 Kim [35.0°sof 3] [10.0° MofE]