Abby and Lola dive from an overhang into the lake below.Abby simply drops straight down from the edge, but Lola takes a running start and jumps with an initial horizontal velocity of 25 m/s.Neither person experiences any significant air resistance.Just as they reach the lake belowGroup of answer choicesthe speed of Abby will always be 25 m/s larger than that of Lola.the speed of Abby is larger than that of Lola.they will both have the same speed.none of thesethe speed of Lola will always be 9.8 m/s larger than that of Abby.
Question
Abby and Lola dive from an overhang into the lake below.Abby simply drops straight down from the edge, but Lola takes a running start and jumps with an initial horizontal velocity of 25 m/s.Neither person experiences any significant air resistance.Just as they reach the lake belowGroup of answer choicesthe speed of Abby will always be 25 m/s larger than that of Lola.the speed of Abby is larger than that of Lola.they will both have the same speed.none of thesethe speed of Lola will always be 9.8 m/s larger than that of Abby.
Solution
The correct answer is "they will both have the same speed."
Here's why:
When Abby and Lola jump off the overhang, they both start falling at the same time and from the same height. Therefore, they are both subjected to the same acceleration due to gravity (9.8 m/s^2). This means that their vertical velocities will be the same when they hit the water, regardless of their initial horizontal velocities.
Lola's initial horizontal velocity does not affect her vertical velocity or her speed when she hits the water. This is because the vertical and horizontal components of motion are independent of each other. So, even though Lola starts with a horizontal velocity, this does not give her an advantage in terms of speed when hitting the water.
Therefore, Abby and Lola will both have the same speed when they hit the water.
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