Final answer:
To find the values of 't' for which the ball's height is 7 meters, we set the equation for height 'h' equal to 7 and solve for 't' using the quadratic formula. The solutions are approximately 3.79 seconds and 0.54 seconds.
Step-by-step explanation:
To find the values of t for which the ball's height is 7 meters, we need to set the equation for the height h equal to 7 and solve for t.
Given the equation h = 2 + 25t - 5t², we can rewrite it as -5t² + 25t + (2 - 7) = 0.
This simplifies to -5t² + 25t - 5 = 0.
Using the quadratic formula, we can solve for t. The solutions are approximately t = 3.79 and t = 0.54.
Therefore, the values of t for which the ball's height is 7 meters are approximately 3.79 seconds and 0.54 seconds.