A ball is launched upward from the ground with an initial velocity of 19 m/s and reaches
Question:
A ball is launched upward from the ground with an initial velocity of19 m/s and reaches height above the ground before falling back down. Take the upward direction to be positive. Refer to the figure. Neglect air resistance. What is the acceleration, in meters per second, of the ball when it is in the air?What is the velocity of the ball, in meters per second, when it reaches the top, or highest point, of its trajectory? What is an expression for the height of the ball as a function of time in terms of the initial velocity vi and the acceleration a and the elapsed time t? What is the maximum height the ball reaches in meters? What is an expression for the elapsed time it takes for the ball to travel from the ground to a given height in terms of the initial velocity vi, the velocity the ball has at that height h, and the acceleration a? How long does it take the ball to reach its maximum point top in seconds? What is the total displacement, in meters, of the ball for its entire motion: traveling from the ground to the top and then returning to the ground? What is an expression for the total time of flight of the ball: the time from when it is launched to when it lands back on the ground, express this time in terms of vi and a. What is the value of t total in seconds?
What is an expression for t total in terms of the variable t top, the time of ascent from the ground to the top of the trajectory? What is the velocity of the ball in the instant of time before it hits the ground, vf, in terms of vi, t total, and a? What is the velocity of the ball, in meters per second, in the instant of time when it returns to the ground?