3. For the finale of her act, famed balloonist Mer- cedes Corominas would suspend herself from...

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3. For the finale of her act, famed balloonist Mer- cedes Corominas would suspend herself from a trapeze 10 m below the basket, and she would kick a ball with lit sparklers towards a confeder- ate on the ground, usually over the heads of her spectators. When she takes off, she sets her bal- loon to rise at 4 m s2 (please assume that the balloon starts from rest, that it only moves verti- cally, and when Ms. Corominas stops the ascent, she stops instantaneously). -2 (a) If Ms. Corominas pilots the balloon up for 22 s before hovering: i. (3 points) What height does she reach? ii. (1 point) At what height is her trapeze? (b) Ms. Corominas lights the sparklers and kicks the ball horizontally. i. (7 points) How long does it take the ball to reach the ground? ii. (5 points) If she kicks the ball with an initial horizontal speed of 18 m s1 (she's kicking while inverted, after all), how far will it go (without considering air- resistance)? iii. (5 points) If her confederate stations her- self (at rest) 418 m radially away from the balloon, how much must she accel- erate to reach the ball to catch it just before it hits the ground as if to make a spectacular, surprising save and excite the crowd? iv. (4 points) What is the average speed of Ms. Corominas's confederate? 3. For the finale of her act, famed balloonist Mer- cedes Corominas would suspend herself from a trapeze 10 m below the basket, and she would kick a ball with lit sparklers towards a confeder- ate on the ground, usually over the heads of her spectators. When she takes off, she sets her bal- loon to rise at 4 m s2 (please assume that the balloon starts from rest, that it only moves verti- cally, and when Ms. Corominas stops the ascent, she stops instantaneously). -2 (a) If Ms. Corominas pilots the balloon up for 22 s before hovering: i. (3 points) What height does she reach? ii. (1 point) At what height is her trapeze? (b) Ms. Corominas lights the sparklers and kicks the ball horizontally. i. (7 points) How long does it take the ball to reach the ground? ii. (5 points) If she kicks the ball with an initial horizontal speed of 18 m s1 (she's kicking while inverted, after all), how far will it go (without considering air- resistance)? iii. (5 points) If her confederate stations her- self (at rest) 418 m radially away from the balloon, how much must she accel- erate to reach the ball to catch it just before it hits the ground as if to make a spectacular, surprising save and excite the crowd? iv. (4 points) What is the average speed of Ms. Corominas's confederate?