Question

An inquisitive physics student and mountain climber climbs a 51.0-m-high cliff that overhangs a calm pool...

An inquisitive physics student and mountain climber climbs a 51.0-m-high cliff that overhangs a calm pool of water. He throws two stones vertically downward, 1.00 s apart, and observes that they cause a single splash. The first stone has an initial speed of 2.02 m/s.

(a) How long after release of the first stone do the two stones hit the water?
s

(b) What initial velocity must the second stone have if the two stones are to hit the water simultaneously?

magnitude   m/s
direction ---Select--- upward downward


(c) What is the speed of each stone at the instant the two stones hit the water?

first stone   m/s
second stone m/s

Homework Answers

Answer #1

Here is what I solved before, please modify the figures as per your question. Please let me know if you have further questions. Ifthis helps then kindly rate 5-stars.

a) Vo*t + 0.5g*t^2 = d.

1.92*t + 4.9*t^2 = 49.

4.9t^2 + 1.92t - 49 = 0.

Use Quadratic Formula and get:

t = 2.9714 seconds.

b. Vo*2.9714 + 4.9*2.9714^2 = 49.

Vo*2.9714 + 43.263 = 49.

2.9714*Vo = 49 - 43.263 = 5.7368.

Vo = 5.7368 / 2.9714 = 1.93068 m/s. ----> Intial Velocity

Direction Vertically Downward


c. Vf^2 = Vo^2 + 2g*d.

Vf^2 = 1.92^2 + 19.6*49 = 964.086.

Vf = 31.049 m/s. = Final velocity.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An inquisitive physics student and mountain climber climbs a 49.0-m-high cliff that overhangs a calm pool...
An inquisitive physics student and mountain climber climbs a 49.0-m-high cliff that overhangs a calm pool of water. He throws two stones vertically downward, 1.00 s apart, and observes that they cause a single splash. The first stone has an initial speed of 1.80 m/s. (a) How long after release of the first stone do the two stones hit the water?   (b) What initial velocity must the second stone have if the two stones are to hit the water simultaneously?...
A mountain climber stands at the top of a 33.5-m cliff that overhangs a calm pool...
A mountain climber stands at the top of a 33.5-m cliff that overhangs a calm pool of water. She throws two stones vertically downward 1.00 s apart and observes that they cause a single splash. The first stone had an initial velocity of -2.40 m/s. (Indicate the direction with the sign of your answer.)(a) How long after release of the first stone did the two stones hit the water? s (b) What initial velocity must the second stone have had,...
I need to see all the steps please! I know there are calculations of this kind...
I need to see all the steps please! I know there are calculations of this kind of question out there. An inquisitive physics student and mountain climber climbs a 51.0-m-high cliff that overhangs a calm pool of water. He throws two stones vertically downward, 1.00 s apart, and observes that they cause a single splash. The first stone has an initial speed of 2.02 m/s. (a) How long after release of the first stone do the two stones hit the...
A rock climber stands on top of a 58 m -high cliff overhanging a pool of...
A rock climber stands on top of a 58 m -high cliff overhanging a pool of water. He throws two stones vertically downward 1.0 s apart and observes that they cause a single splash. The initial speed of the first stone was 2.5 m/s . How long after the release of the first stone does the second stone hit the water? What is the speed of the first stone as it hits the water? What is the speed of the...
A rock climber stands on top of a 60 m -high cliff overhanging a pool of...
A rock climber stands on top of a 60 m -high cliff overhanging a pool of water. He throws two stones vertically downward 1.0 s apart and observes that they cause a single splash. The initial speed of the first stone was 1.7 m/s . A. How long after the release of the first stone does the second stone hit the water? B. What was the initial speed of the second stone? C. What is the speed of the first...
A rock climber stands on top of a 56 m -high cliff overhanging a pool of...
A rock climber stands on top of a 56 m -high cliff overhanging a pool of water. He throws two stones vertically downward 1.0 s apart and observes that they cause a single splash. The initial speed of the first stone was 1.8 m/s . Part A How long after the release of the first stone does the second stone hit the water? Part B What was the initial speed of the second stone? Part C What is the speed...
1)A particle moves along the x axis. Its position is given by the equation x =...
1)A particle moves along the x axis. Its position is given by the equation x = 1.8 + 2.5t − 3.9t2 with x in meters and t in seconds. (a) Determine its position when it changes direction. (b) Determine its velocity when it returns to the position it had at t = 0? (Indicate the direction of the velocity with the sign of your answer.) 2)The height of a helicopter above the ground is given by h = 3.10t3, where...
A person, standing on the top of a 50 m high building, throws two stones vertically...
A person, standing on the top of a 50 m high building, throws two stones vertically downward 1.00 second apart and observes they hit the ground at the same time. The first stone had a downward initial speed of 2.00 m/s. What must be the initial velocity of the second stone, given they hit the ground simultaneously? Group of answer choices a. -31.9 m/s b. -23.5 m/s c. -15.2 m/s d. 15.2 m/s
A person throws two identical stones from the top of a 200-m high cliff overlooking a...
A person throws two identical stones from the top of a 200-m high cliff overlooking a lake. Stone 1 is thrown at an angle of 30o above the horizontal with an initial speed of 40 m/s. Stone 2 is thrown at an angle of 30o below the horizontal with an initial speed of 40 m/s. Neglect air resistance. Which stone hits the water first? Stone 1. They hit at the same time. Stone 2. Which stone strikes the water with...
A soccer player kicks a rock horizontally off a 37 m high cliff into a pool...
A soccer player kicks a rock horizontally off a 37 m high cliff into a pool of water. If the player hears the sound of the splash 2.92 s later, what was the initial speed given to the rock (in m/s)? Assume the speed of sound in air is 343 m/s. B What If? If the temperature near the cliff suddenly falls to 0°C, reducing the speed of sound to 331 m/s, what would the initial speed of the rock...