Please answer all parts please it is very important for me. A child is playing with a ball connected to a string. As the child swings the ballaround, the string is gradually released so that the ball follows a path defined by thefunction r = aebe, where a and b are constants, r is the radial coordinate measuredin meters, and is the transverse coordinate measured in radians from the positivehorizontal axis, as shown. The ball is released at point A after making two fullrevolutions (i.e., when 0 = 47 radians).(a) Show that the angle that the total velocity vector makes with the horizontal atthe point of release A is given by a = tan-1(1/b).For the rest of the problem, use a = 0.005 and b = 0.4.(b) If the ball on the string is swung at a constant angular velocity of 6 rad/s,determine the speed of the ball at point A when 0 = 47 radians.(c) Determine the magnitude of the ball's total acceleration the instant before it isreleased at A.(d) If the ball is released at point A at h = 1 meter above the ground, determine thetime it takes for the ball to hit the ground.

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(a) Show that the angle that the total velocity vector makes with the horizontal at the point of release A is given by a = tan-1(1/b). For the rest of the problem, use a = 0.005 and b = 0.4. (b) If the ball on the string is swung at a constant angular velocity of 6 rad/s, determine the speed of the ball at point A when 0 = 4π radians. (c) Determine the magnitude of the ball's total acceleration the instant before it is released at A. (d) If the ball is released at point A at h = 1 meter above the ground, determine the time it takes for the ball to hit the ground.

(a) Show that the angle that the total velocity vector makes with the horizontal at the point of release A is given by a = tan-1(1/b). For the rest of the problem, use a = 0.005 and b = 0.4. (b) If the ball on the string is swung at a constant angular velocity of 6 rad/s, determine the speed of the ball at point A when 0 = 4π radians. (c) Determine the magnitude of the ball's total acceleration the instant before it is released at A. (d) If the ball is released at point A at h = 1 meter above the ground, determine the time it takes for the ball to hit the ground.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 2.10CYU: Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...

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