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- A glider is initially moving at a constant height of 3.76 m. It is suddenly subject to a wind such that its velocity at a later time t can be described by the equation v(t) = 16.18 − 7.78(1 + t) + 0.70t3, where v and its components are in meters per second, t is in seconds, and the z axis is perpendicular to the level ground. (a) What was the initial velocity of the glider? (Express your answer in vector form.) vi = m/s(b) Write an expression for the acceleration of the glider in component form when t = 2.14 s. (Express your answer in vector form.) a(t = 2.14 s) = m/s2(f) The rate of change (with respect to time) of which variable is equal to the rate at which the bale of hay is rising? A.z B.x C.h D.y (g) When the horizontal distance between the tractor and the bale of hay is 4m, the bale of hay is rising off the ground at a rate ofA block slides with constant velocity down an inclined plane that has a slope angle theta. The block is then projected up the same plane with an initial speed of v0. (a) How far up the plane will it move before coming to rest? (b) After the block comes to rest, will it slide down the plane again? Give an argument to back your answer.
- A river flows with a uniform velocity v. A person in a motorboat travels 1.30km upstream, at which time she passes a log floating by. Always with the same throttle setting, the boater continues to travel upstream for another 51.3min and then returns downstream to her starting point, which she reaches just as the same log does. Calculate the velocity of the river.A plane is flying to Minnesota with a velocity of 349.43 km/h, N. The plane encounters a crosswind with a velocity of 86.82 km/h, W. What is the magnitude of the resultant velocity of the plane? (Answer in km/h)After opening her parachute at a height 1200 m, a skydiver has constant velocity 6.0 m/s, along a diagonal path tilted 20° from vertical (as she is carried by a steady horizontal wind). (a) Find the time to reach the ground. (b) Determine the speed of the wind.
- Refer to Figure 2.4 a. Describe how the vertical velocity of the projectile vy varies over time? b. What does the projectile’s vy vs. t plot reveal about the projectile’s acceleration? c. Overall, what can you say about the goodness of fit for all the plots? Explain your answer. HINT: Goodness of fit defines the strength of the variables’ correlation.A man was standing on one side of the roof of a building 145 meters above the ground and shot a projectile with O HO oti av. ta an initial speed of 53 m/s at an angle of 30° with the horizontal. Find: a) the time ( seconds) it took the projectile to hit the ground b) how far (meter) away from the base of the building did the projectile land? c) Find the vertical and horizontal components of the velocity (m/s) d) what is its velocity in m/sSS Prima Vista, a theater and cruise ship, sailed through the Atlantic for its one-week performance cruise. It left the Port de Marseille early morning with a velocity of 48 kph going north, then 40 kph 70° N of E, then headed straight for the Réstaurant Glacier le Commodore at 48 kph, which is 20° W of N. Determine the resultant vector using a graphical representation, head to tail method. Find the resulting components and the resultant vector.
- d) the maximum magnitude of the acceleration (m/s2)A ball is thrown horizontally from the top of a building 22m high.the ball strikes the ground at a point 35 m horizontally away from and below the point of release.Air resistant is neglected from this problem.c.what is the intial velocity of the ball in the horizontal direction?How far can they jump in meters? Assume the person leaves at an angle of 45 degrees and on level ground x=