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- The velocity of a particle moving in the xy plane is given by = ( 5.50 r- 5.00 P)i + 9.00). with V in meters per second and t- 0l in seconds. At t-1.40 s and in unit-vector notation, what are lal the xcomponent and (bi the y component of the acceleration? ) When of ever) is the acceleration zero? (d) At what positive time does the speed eoual 100 ms? 1 unit (al Number } unit This anwer hannunts degrees Number O Number Unit (d) Number Unit Hint Pa GO Tutorial Save for Later times Attempts: unlimited Smit ArrBall is thrown from the rooftop with an initial down with velocity of magnitude va= 1.1 m/s. The rooftop is a distance above the ground, h= 36m. In this problem use a coordinate system in which upwards is positive. Find the vertical component of the velocity vfy, in meters per second with which the ball hits the ground. If you wanted the balls final speech to be exactly 27.3 m/s, from the heigh hnew (in meters), would we need to throw it with the same initial velocity? if the height is fixed at 36 m, but we wanted the balls final speed to be 32.7 m/s, what would the vertical component of the i goal velocity viy need to be, in meters per second?A particle leaves the origin with an initial velocity 3.00î m/s and a constant acceleration ở -1.00î – 0.50ĵ m/s². When it reaches its maximum x coordinate, what are its (a) velocity and (b) position vector?
- The position of a particle is described byr = (t3+ 4t –4) m and θ = (t3/2) rad, where t is inseconds. Determine the magnitudes of the particle’svelocity and acceleration at the instant t = 2 s.On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball with a golf club improvised from a tool. The free-fall acceleration on the moon is 1/61/6 of its value on earth. Suppose he hit the ball with a speed of 28 m/sm/s at an angle 31o above the horizontal. Express your answer using two significant figures. (a) How long was the ball in flight?(b) How far did it travel?(c) How much farther would it have traveled on the moon than on earth?The minimum speed he'd need to run off the edge of the cliff to make it safely to the far side of the river?
- At a long distance shooting match, a bullet is fired with a muzzle velocity of 3000 feet per second from a rifle held in the horizontal position. When fired the sights of the rifle was dead center of a target. The bullet strikes the target at 4.00 ft below the center of the target. How long (in seconds) did it take for the bullet to reach the target? How far away (in unit of yards) was the target? Neglect any air resistance to the bullet. Make a simple sketch. Make a list of all given values, units, and the variables they represent. write the general form of the equation you are going to use. Insert the known values and solve. For problems with vertical motion State at the start of the problem which direction is positive by using an up or down arrow. Keep the velocity components and time to 2 decimal placesProblem 1: An object is thrown off the top of a 6.2-m tall building with a velocity of 2.9 m/s at an angle of 37° with respect to the horizontal. Part (a) How long is the object in the air in seconds? S sin() cos() tan() 7 8 9. НОME cotan() asin() acos() 4 6 atan() acotan() sinh() 1 3 cosh() tanh() cotanh() END O Degrees O Radians CLEAR Part (b) What is the horizontal distance the object covers in meters?A wildlife researcher is tracking a flock of geese. The geese fly 4.5 kmkm due west, then turn toward the north by 30 ∘∘ and fly another 5.0 kmkm . How far west are they of their initial position? What is the magnitude of their displacement?