Walking by the Bard tennis courts you'll frequently find a ball that's been hit outside the fenced- in courts. Being courteous you want to return the ball back into the court. Suppose you're 15 ft from the 10 ft-high fence and throw the ball from a height 5 ft off the ground at an angle 30° to the horizontal and with an initial speed v,. A) Find an expression (i.e. write an equation) for the time it takes the ball to travel the 15 ft to reach the fence's horizontal location, where the only unknown in the expression is v.. B) Find an expression for the height off the ground the ball is when it reaches the fence, where the only unknown is again v,- C) What is the minimum v, you need to throw the ball at to get it over the fence? D) If you throw the ball with this minimum speed, what is the maximum height it reaches? E) If you throw the ball with this speed, how long is it in the air before hitting the ground? F) If you throw the ball with this speed, how far does it land from you?

Walking by the Bard tennis courts you'll frequently find a ball that's been hit outside the fenced- in courts. Being courteous you want to return the ball back into the court. Suppose you're 15 ft from the 10 ft-high fence and throw the ball from a height 5 ft off the ground at an angle 30° to the horizontal and with an initial speed v,. A) Find an expression (i.e. write an equation) for the time it takes the ball to travel the 15 ft to reach the fence's horizontal location, where the only unknown in the expression is v.. B) Find an expression for the height off the ground the ball is when it reaches the fence, where the only unknown is again v,- C) What is the minimum v, you need to throw the ball at to get it over the fence? D) If you throw the ball with this minimum speed, what is the maximum height it reaches? E) If you throw the ball with this speed, how long is it in the air before hitting the ground? F) If you throw the ball with this speed, how far does it land from you?