For the baseball of Prob. 2/45 thrown upward with an initial speed of 30 m/s, determine the time t_u from ground to apex and the time t_d from apex to ground.

Data from Prob. 2/45

When the effect of aerodynamic drag is included, the y-acceleration of a baseball moving vertically upward is au = −g − kv², while the acceleration when the ball is moving downward is ad = −g + kv², where k is a positive constant and v is the speed in meters per second. If the ball is thrown upward at 30 m/s from essentially ground level, compute its maximum height h and its speed v_ƒ upon impact with the ground. Take k to be 0.006 m⁻¹ and assume that g is constant.

Transcribed Image Text:

au =-g- ku? |ad =-g + kv? h y 30 m/s Problem 2/45