Final answer:
To determine the maximum height reached by the ball, set the vertical velocity equal to zero and solve for time. The height when the ball was first hit can be found by plugging in t = 0 into the equation. To find the height after 4 seconds, substitute t = 4 into the equation.
Step-by-step explanation:
The maximum height reached by the ball can be determined by analyzing the equation h=-262 - 12t+1.5a. In this equation, h represents the height of the ball, t represents time in seconds, and a represents the acceleration due to gravity (approximately -9.8 m/s^2). To find the maximum height, we need to find the time when the vertical velocity of the ball becomes zero. This occurs when the ball is at the highest point of its trajectory. At this point, the acceleration due to gravity cancels out the initial upward velocity, resulting in a final vertical velocity of zero. By setting the vertical velocity equal to zero and solving for time, we can find the time it takes for the ball to reach its maximum height. Once we have the time, we can substitute it back into the equation to find the corresponding height.
The height when the ball was first hit can be determined by plugging in t = 0 into the equation h = -262 - 12t + 1.5a. This represents the initial height of the ball when it was hit.
To find the height of the ball after 4 seconds, we can simply substitute t = 4 into the equation h = -262 - 12t + 1.5a and calculate the corresponding height.