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vn] An equation of the motion of the form s = 80t – 16r? represents an object thrown upward with initial velocity of 80 ft/sec. a. Find the maximum height. the velocity b. Find acceleration of the object when height is 96 feet. and

Consider the following scenario. A pilot is steering a plane in the direction N 45° W at an air-speed (speed still in air) of 190 mi/h. A wind is blowing in the direction S 30° E at a speed of 34 mi/h. Set up the coordinate axes so that north is the positive y-direction and west is the negative x-direction. With respect to the still air, write a vector that represents the velocity of the plane and represents the velocity of the wind. Vplane = Vwind= Give a velocity vector of the plane relative to ground. (Round your values to three decimal places.) V = Vplane + wind= Find vl. (Round your answer to one decimal place.) |v| = Find the true course and the ground speed (in mi/h) of the plane. (Round your answers to one decimal place.) true course N W ground speed Need Help? Read It mi/h vector that

Allison lives in Whoville, which has coordinates of 60° N, 98º W. (Earth's radius is 3960 miles) What is Allison's angular velocity? [Select] rad/hr What is Allison's linear velocity, with respect to the center of earth? [Select] miles/hr

The figure shows an overhead view of a 0.026 kg lemon half and two of the three horizontal forces that act on it as it is ona frictionless table. Force F has a magnitude of 3 N and is at 8, -31. Force F2 has a magnitude of 10 N and is at 02 33". In unit-vector notation, what is the third force if the lemon half (a) is stationary, (b) has the constant velocity V= (137-14) m/s, %3D %3D and (c) has the V = (12fi - 14) m/s?, where t is time?

The motion of a point on the circumference of a rolling wheel of radius 5 feet is described by the vector function r(t) = Find the velocity vector of the point. v(t) = = 5(13t – sin(13t))i + 5(1 = Find the acceleration vector of the point. a(t) Find the speed of the point. s(t) = 65√2- 2 cos (13t) = - cos(13t))j Add Work

Consider the following scenario. A pilot is steering a plane in the direction N 45° W at an air-speed (speed still in air) of 150 mi/h. A wind is blowing in the direction S 30° E at a speed of 34 mi/h. Set up the coordinate axes so that north is the positive y-direction and west is the negative x-direction. With respect to the still air, write a vector that represents the velocity of the plane and a vector that represents the velocity of the wind.