(a) Can a particle moving with instantaneous speed 7.00 m/s on a path with radius of curvature 2.00 m have an acceleration of magnitude 42.00 m/s²? Yes No If the answer is yes, explain how it can happen; if the answer is no, explain why not. This answer has not been graded yet. (b) Can it have an acceleration of magnitude 12.00 m/s²? Yes No If the answer is yes, explain how it can happen; if the answer is no, explain why not.
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- A particle is moving in a circle of radius R. At t = 0, it is located on the x-axis. The angle the particle makes with the positive x -axis is given by 0 = At² + Bt³ What is the magnitude of the tangential acceleration, atan of the particle at a time t > 0? Express your answer in terms of R, t, A, and B as needed. What is the magnitude of the radial acceleration, larad of the particle at a time t > 0? Express your answer in terms of R, t, A, and B as needed.In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 15.0 m in diameter. It is found that the pilot blacks out when he is spun at 30.6 rpm (rev/min). At what acceleration (in SI units) does the pilot black out? acceleration: 77.01 m/s? Express this acceleration in terms of a multiple of g. acceleration as a multiple of g: 7.858 If you want to decrease the acceleration by 22.0% without changing the diameter of the circle, by what percent must you change the time for the pilot to make one circle? percent of time change:At the equator, the radius of the Earth is approximately 6370km. A jet flies at a very low altitude at a constant speed of v=222m/s Upon landing, the jet can produce an average deceleration of magnitude a=16.5m/s2 how long in seconds will it take the jet to circle the earth at the equator
- An object moves in a circular path at a constant speed. What is the relationship between the directions of the object's velocity and acceleration vectors? The velocity vector points in a direction tangent to the circular path. The acceleration is zero. The velocity and acceleration vectors are perpendicular. The velocity and acceleration vectors point in opposite directions. The velocity and acceleration vectors point in the same direction. The velocity vector points toward the center of the circular path. The acceleration is zero.: A motorist is traveling on a curved section of highway of radius 2500 ft at the speed of 60 miles per hour. The motorist suddenly applies the brakes, causing the automobile to slow down at a constant rate. Knowing that after 8 seconds the speed has been reduced to 45 miles per hour, 1. Determine the acceleration of the automobile immediately after the brakes have been applied. VA = 60 mi/h A 2500 ftAn airplane makes a gradual 270° turn (heading goes from north to west to south to east) while flying at a constant speed of 212 m/s and maintaining the same altitude. The process takes 15.6 seconds to complete and the radius of the turn is 2105 m. For this turn, the magnitude of the average acceleration of the plane is?
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- 2. A particle moves in uniform circular motion, over a horizontal xy- plane. At one instant it moves through the points (2.0 m, 4.0 m) with a velocity of -6.00i m/s and an acceleration of 18.0j m/s?. a) Draw the circular path of the particle and label the velocity vector and the acceleration vector. b) Calculate the x and y-coordinates of the center of the circular path. c) Calculate the period of rotation.A bicyclist is at the bottom of a hill with a speed of 30 ft/s. After traveling 600 ft on the road, she reaches the top of the hill with a speed of 15 ft/s. Her total acceleration at the top of the hill is 1.3 ft/s^2. Assuming her acceleration along the road is constant. -What is the radius of curvature for the top of the hill?1. A rock is thrown off a cliff at an angle of 51 with respect to the horizontal. The cliff is 126 m high. The initial speed of the rock is 24 m/s. (a) Fill in the following: Vo Vox Voy || || ✓ m S ES = ES m (b) VX (c) V (d) In your notebook, draw a sketch of the problem. Select the direction along the along the vertical axis (y-axis) that is positive (upwards or downwards). Select the direction along the along the horizontal axis (x-axis) that is positive (left or right). Select an origin. Draw the vectors for Vo, Vox Voy" V, Vx, Vy, ax, a¸. Label on your diagram the initial and final positions of the rock x, y, and xƒ‚ Yf. (e) How high above the edge of the cliff does the rock rise? Ay= m 00 (f) How far has it moved horizontally when it is at maximum altitude? Δx= m (g) How long after the release does it hit the ground? ground= (h) What is the range of the rock? Ax total ✔m S (i) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at t = 4 s.…