Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

2. A toy plane is flying in a horizontal circle of radius 20 m, with a speed of

ID: 1881353 • Letter: 2

Question

2. A toy plane is flying in a horizontal circle of radius 20 m, with a speed of 5m/s. a) What is the time period of the plane to take one complete rotation? b) What is its centripetal acceleration? es i the plane starts rotating with angular acceleration of 2 rad/s after the first cycle what is its final velocity in 5 second. 3. A ball is thrown straight up from a roof of the tall building with a velocity of 4.00 m/s The roof is 1.80 m above the ground. (a) How long is the ball in the air? (b) What is the highest point above the roof? (c) What is the velocity of ball when it hits the ground? A ball is kicked with an initial velocity of Vxo 16 m/s in the horizontal direction and Vyo 12 m/s in the vertical direction. (a) What is the magnitude and direction of 1 itial velocity of the ball. (b) At what speed does the ball hit the ground? (c) For ho ng does the ball remain in the air?.

Explanation / Answer

2. (A) T = 2 pi r / v

T = 2 pi (20 m) / (5 m/s)

T = 25.1 sec  

(B) a_c = v^2 / r = 5^2 / 20 = 1.25 m/s^2


(C) tangential acc, at = w r = (2 x 20) = 40 m/s^2

v = vi + a t = (5) + (40 x 5) = 205 m/s