(A) What is the acceleration, in meters per second quarter, to the ball when it it is in the air? (B) What is the velocity of the ball, in meters per second, when it reaches the top of its trajectory? (C) Enter an expression for the maximum height, h, the ball reaches in terms of vf, vi, and a.
A ball is throw hoard from the ground with initial velocity vi= 14 m/s and reaches height of h above the ground before falling back down. Take the upwards direction to be positive. Neglect air resistance. (A) What is the acceleration, in meters per second quarter, to the ball when it it is in the air? (B) What is the velocity of the ball, in meters per second, when it reaches the top of its trajectory? (C) Enter an expression for the maximum height, h, the ball reaches in terms of vf, vi, and a. (D) Calculate the value of h, in meters. (E) Enter an expression for the time it takes for the ball to trace from the ground to the top, delta t, in terms of vi, vf, and a. (F) Calculate the value of delta t in seconds. (G) What is the total displacement, in meters, of the ball going through its entire motion: traveling from the ground to the top then falling back to the ground? (H) Enter an expression for the total time of flight of the ball: the time from when it is launches to when it lands ba on the ground. (I) Express this time in terms of vi and a. Calculate the value of delta t tot in seconds. (J) Enter an expression for delta t tot in terms of the variable delta t tot in terms of the variable delta t, the time of ascent from the ground to the top of the trajectory. (K) Express the velocity of the ball right before it hits the ground, vf, in terms of vi, delta t and a. (L) Express vf in terms of vi.
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