1. While riding on an elevator descending with a constant speed of 1.5 m/s, you accidentally drop a book form under your arm.

(a) How long does it take for the book to reach the elevator floor, 1.2 m below your arm?
(b) What is your book's speed relative to you when it hits the elevator floor?

2. To celebrate a victory, a pitcher throws her glove straight up-ward with an initial speed of 6.0m/s.
(a) How long does it take for the glove to return to the pitcher?
(b) How long does it take for the glove to reach its maximum height?

1a)

v = 3 m/s
h = 1.2 m
t = ?
Vf = ?

V = Vi + at
3 m/s = 0 + (9.8 m/s^2)(t)
t = .30 s

1b) Vf = Vi + at
Vf = 0 + (9.8m/s^2)(.30 s)
Vf = 2.94 m/s

2a & b)
Vi = 6 m/s
t1 = ?
t2 = ?

I'm really confused with this problem since only one quantity is given. But I don't think we can assume that final speed is 0 m/s.

1. The answer is the same as it would be in nonmoving elevator

(a) t = sqrt(2H/g) = 0.495 s
(b) V = sqrt(2gH) = 4.85 m/s

2. (a) 2 Vo/g
(b) Vo/g
Vo = 6 m/s
g = 9.8 m/s^2

Thank you very much.

For problem 2, we'll need to use the fact that at the maximum height, the velocity of the glove is zero. Thus, we can use the equation:

Vf = Vi + at

At the maximum height, Vf = 0, so:

0 = 6 m/s + (-9.8 m/s^2)t

Solving for t, we get:

t = 6 m/s / 9.8 m/s^2
t ≈ 0.61 s

So it takes approximately 0.61 seconds for the glove to reach its maximum height.

To find the time it takes for the glove to return to the pitcher, we can use the fact that the total time for the upward and downward motion is the same. Since it takes 0.61 seconds for the glove to reach its maximum height, it will also take 0.61 seconds for it to fall back down. Therefore, the glove will return to the pitcher in approximately 0.61 seconds.

For problem 2a and 2b, you are correct in stating that more information is needed. In order to find the time it takes for the glove to return to the pitcher or reach its maximum height, we need to know the acceleration or any other relevant information.

If you are given additional information, such as the acceleration or the vertical displacement of the glove, please provide it so we can proceed in finding the time. If not, unfortunately, we cannot determine the time it takes for the glove to return to the pitcher or reach its maximum height without more information.