To find the initial velocity of the ball thrown vertically upward, we can use the equation of motion for vertical motion:
v = u + gt
Where: v is the final velocity (which is zero at the maximum height) u is the initial velocity g is the acceleration due to gravity (approximately 9.8 meters per second squared) t is the time taken to reach the maximum height
Since the ball takes 3 seconds to reach the maximum height, we can substitute the known values into the equation and solve for the initial velocity:
0 = u + (9.8 m/s^2) * 3 s
Rearranging the equation to solve for u, we have:
u = - (9.8 m/s^2) * 3 s
Calculating this expression gives us:
u = -29.4 m/s
Therefore, the initial velocity of the ball thrown vertically upward is approximately -29.4 meters per second. The negative sign indicates that the initial velocity is in the opposite direction of the motion, i.e., upward.