A fish is swimming north at 1.2 m/s. It then undergoes an average acceleration of 8.3 m/s^2 51 degrees souti of west for 0.25 s. What is the magnitude of the fish's final velocity. Please include a drawing
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- (Conversion) An object’s polar moment of inertia, J, represents its resistance to twisting. For a cylinder, this moment of inertia is given by this formula: J=mr2/2+m( l 2 +3r 2 )/12misthecylindersmass( kg).listhecylinderslength(m).risthecylindersradius(m). Using this formula, determine the units for the cylinder’s polar moment of inertia.Point k at end of the rod as in Fig. slides along the fixed path (x-y/30), where x and y in (mm). y coordinate of k varies according to the relation y- 4i+5t (mm). take y=20 mm, determine (a) the velocity of k; and (b) the acceleration of k. 50 mmA simple pendulum of length L, has a maximum angular displacement e_max. At one point in its motion, its kinetic energy is K = 3 J and its potential energy is U = 4.2 J. When the pendulum's angular velocity is one-fourth its maximum value (0' = %3D O'_max/4), then its kinetic energy is:
- Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assume that the tank is full of water. (The weight-density of water is 62.4 pounds per cubic foot. Round your answer to two decimal places.) Parabola, y = x² Ib Submit AnswerDraw a CIRCLE OF UNIT RADIUS: Use parametric equation of unit circle x=cos , y= sin 0If there are two equal angles in a given triangle, then their corresponding opposite sides must be equal.
- A vertical tower stands on a horizontal plane and is surmounted by a vertical flag-staff of height 6 m. At a point on the plane, the angle of elevation of the bottom and top of the flag-staff are 30° and 45° respectively. Find the height of the tower. (Take √3=1.73)A simple pendulum is formed of a rope of length L = 2.2 m and a bob of mass m. %3D When the pendulum makes an angle e 10° with the vertical, the speed of the %3D bob is 2 m/s. The angular speed, e', at the lowest position is equal to: (g = 10 m/s^2)The flight of a model rocket can be modeled as follows. During the first 0.15 s the rocket is propelled upward by the rocket engine with a force of 16 N. The rocket then flies up while slowing down under the force of gravity. After it reaches the apex, the rocket starts to fall back down. When its downward velocity reaches 20 m/s, a parachute opens (assumed to open instantly), and the rocket continues to drop at a constant speed of 20 m/s until it hits the ground. Write a program that calculates and plots the speed and altitude of the rocket as a function of time during the flight. SOLVE WITH MATLAB PLEASE
- The two blocks of Figure 6.17 are attached to each other by a massless string that is wrapped around a frictionless pulley. When the bottom 4.00-kg block is pulled to the left by the constant force P, the top 2.00-kg block slides across it to the right. Find the magnitude of the force necessary to move the blocks at constant speed. Assume that the coefficient of kinetic friction between all surfaces is 0.400.Find the equation of the plane through the point (2, 4, 5) perpendicular to the line: X-5+t, y=1+3t, z= 0+4tThe graph shows the temperature T, in degrees Fahrenheit, of molten glass t seconds after it is removed from a kiln. (0, 1500) 75 t (a) Find lim T. oF What does this limit represent? | This is the natural temperature of glass. This is the initial rate at which the glass is cooling. O This is the temperature of the kiln. This is the temperature of the room. (b) Find lim T. oF What does this limit represent? O This is the natural temperature of glass. This is the initial rate at which the glass is cooling. This is the temperature of the kiln. This is the temperature of the room.