A ball is thrown from an initial height of 4 feet with an initial upward velocity of 29 fuis. The ball's height / (in feet) after t seconds is given by the following. h=4+291-167² Find all values of t for which the ball's height is 16 feet. Round your answer(s) to the nearest hundredth. (If there is more than one answer, use the "or" button.) initial height ground t-seconds 0·0 X
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- Calculating Displacement- 1. A woman walking her dog travels 200 m north, then 400 m west, then 500 m south. (a). What was the total distance she travelled? (b) What was the magnitude of her displacement for the entire trip?In a total time of 3.0 minutes, a duck on a pond paddles 31 m [N33oE] and then paddlesanother 57 m [E28oS]. Solve for the displacement graphically (with a ruler andprotractor) and then answer the questions. The scale diagram should have a scale, labeled axes, correct vector length and directions, vectorlabels, appropriate significant digits based on your measuring device and final answer withmagnitude to correct sig figs, with unit and direction. Using the displacement you determined from your graph, what was the duck’s average velocityfor the trip? What total distance did the duck travel? What was the average speed of the duck for the whole trip?Find the following for path A in the figure below. (For each answer, enter a number.) A 0 (a) the distance traveled (in m) m t с D (c) the displacement (in m) from start to finish m B 24 68 8 10 12 displacement x (m) (b) the magnitude of the displacement (in m) from start to finish m i
- Find the x and y components of the following vectorsA woman stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v, = 19.5 m/s. The rock leaves her hand at a height of h = 49.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) m Yo = (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox = m/s Voy m/sPlease help
- What is the total distance traveled by the plane from Charlotte to the arrival airport? In KmI WILL RATE HIHG IF YOU ANSWER ALL POINTS PLEASE *13Your dog is running around the grass in your back yard. He undergoes successive displacements 3.56 m south, 8.52 m northeast, and 15.4 m west. What is the resultant displacement? (Take the +x direction to be east.) 8.45 X magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. m direction Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.° counterclockwise from the +x direction
- Item 6 For each of the situations below, a charged particle enters a region of uniform magnetic field. Determine the direction of the force on each charge due to the magnetic field. Figure +q B 1 of 3 Part A Determine the direction of the force on the charge due to the magnetic field. (Figure 1) ► View Available Hint(s) OF points into the page. F points out of the page. F points neither into nor out of the page and F ‡ 0. OF 0. Submit Part B Determine the direction of the force on the charge due to the magnetic field. (Figure 2) ► View Available Hint(s) points out of the page. OF points into the page. O Fpoints neither into nor out of the page and F +0. OF=0. Submit QF points out of the pageThe horizontal distance or range (R) of an object thrown at an angle θ from the horizontal is represented by the equation below where v0 is the initial velocity as the object leaves the hand, in feet per second. If v0 = 2500 feet per second and θ is changed from 13° to 14°, use differentials to approximate the change in range, in feet.A) Calculate the maximum height above the roof reached by the rock. Express your answer in meters. B) Calculate the magnitude of the velocity of the rock just before it strikes the ground. Express your answer in meters per second. C) Calculate the horizontal distance from the base of the building to the point where the rock strikes the ground. Express your answer in meters.