Final answer:
To determine the time taken for a softball to reach the catcher's mitt, we would need to solve the given quadratic equation that represents the ball's motion for when the height (h(t)) equals zero. However, as the equation is not provided in the question, we can only describe the procedure to solve such problems instead of offering a numerical answer.
Step-by-step explanation:
The question describes Susan throwing a softball with its trajectory following a certain equation, which is presumably a quadratic equation representing the parabolic motion of an object under gravity.
To find out how many seconds it will take for the ball to reach the catcher's mitt on the ground at home plate, we have to solve the equation for height, h(t), set to zero since the catcher's mitt is on the ground.
Although the actual quadratic equation is not provided in the question, let's assume it is of the form h(t) = -gt^2/2 + v_initial*t + h_initial, where g is the acceleration due to gravity (9.8 m/s^2), v_initial is the initial vertical component of the velocity with which Susan threw the ball, and h_initial is the initial height from which she threw the ball.
The times at which the ball reaches ground level, t, can be found by solving this equation. However, as the equation itself is not given, we cannot offer a numeric answer.
For example, if the equation was h(t) = -4.9t^2 + 10t + 1 (with initial velocity 10 m/s and initial height 1 m), then we would solve for t when h(t) is zero:
Set the equation to 0: 0 = -4.9t^2 + 10t + 1
Use the quadratic formula to find t
Select the positive value of t that makes physical sense for the problem
However, without the specific equation, we can only explain the method to find the time taken rather than provide the exact duration.
Your complete question is: Susan throws a softball from the outfield towards home plate. As it flew, its height followed the sath of the equation h(t)=-4.9t^2+19.6t , where the height. A is whole number. in feet and the time, f, is in seconds. How many seconds will it take the ball to reach the catcher's mitt on the ground at home plate? Roun your answer to the nearest Just type the number. You do not need to include the units in the answer. Type your answer... Previous