Question asked by Filo student

with a vertical upward velocity of $36\mathrm{ft}/\mathrm{s}$. The ball is 136 feet above the ground the moment he releases the ball. Projectile Motion Formula: $h=-\frac{1}{2}g{t}^2+v_{0}t+h_{0}g=32ft/s^2$ (acceleration due to gravity) $\begin{array}{l}{\dot{v}}_0=\text{ initial velocity }\\ h_0=\text{ initial height }\\ h=\text{ final height }\\ t=\text{ time }\end{array}$

1. Set up the projectile motion formula above to calculate when the ball will land on the field.
2. Discuss threo methods that you learned in class that you could use to solve the equation and why you would or would not use that method.
3. Solve your equation. Show all your work and round your answers to two decimal places if needed.
4. Explain what the two solutions mean within the context of the problem.
5. Draw a graph on a coordinate plane representing the height of the ball in relation to the time. Make sure you label the axes, all intercepts and critical values.
6. If Robert threw the ball from the top tier in the same baseball stadium on Jupiter where the acceleration due to gravity is $80\mathrm{ft}/{\mathrm{s}}^2$, how would this affect the time it takes the ball to land on the field? Explain your reasoning. (Use the projectile motion formula to recalculate the time and explain your results.)

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Updated on: Mar 25, 2023