Two stones are separated by a vertical distance y (in meters) from each other. One stone is thrown down with an initial velocity v01 = -23 m/s and the other is thrown up from the ground with an initial v02 = 8 m/s at the same time the other is thrown. How far, in meters, must they be separated so they hit the ground at the same time? What is the impact velocity, in meters per second, of the first stone? What is the impact velocity, in meters per second, of the second stone?

Two stones are separated by a vertical distance y (in meters) from each other. One stone is thrown down with an initial velocity v01 = -23 m/s and the other is thrown up from the ground with an initial v02 = 8 m/s at the same time the other is thrown. How far, in meters, must they be separated so they hit the ground at the same time? What is the impact velocity, in meters per second, of the first stone? What is the impact velocity, in meters per second, of the second stone?

Related questions

Q: The displacement of particle #1 is r1(t) = 2i-5tj and the displacement of particle #2 is r2(t) =…

Q: A ball is launched vertically upward with a speed of (21.0+A) m/s. Determine the speed of the ball…

A: Given: The initial speed of the ball is Vi =(21.0 +A) m/s. The height is h = (18.0 +B). A =15 B = 8

Q: particle’s velocity along the x-axis is described by v(t) = A t + B t2, where t is in seconds, v is…

Q: Two ants pass each other one is moving along the negative x axis and one is moving at 45 degrees to…

Q: A ball is thrown horizontally from a 16 mm -high building with a speed of 6.0 m/sm/s . How far from…

Q: A badger looking for food travels 8.0 km [S], 3.0 km [E], 5.0 km [S], 9.0 km [N], then 3.0 km [W].…

A: Given data: Badger travels 8.0 km [S], 3.0 km [E], 5.0 km [S], 9.0 km [N], then 3.0 km [W]…

Q: A speedboat moves on a lake with initial velocity vector Vix average acceleration of aav,x = -0.104…

A: Given Data:The initial velocity vector in the x-direction is, v1,x=9.37 m/sThe initial velocity…

Q: You were hiding in a tree 8 m above the ground when you spotted a rabbit on the ground. You took a…

Q: A steel ball is thrown up from the top of a tower of height 125 m with a velocity of 90 m/s . While…

A: Height of tower Initial velocity with which the steel ball is thrown Acceleration due to gravity…

Q: Suppose Larry Boy leaps from the top of a 61 m tall building. If his initial velocity is 28 m/s at…

A: Given: The height of building is h=61 m. The initial speed is vi=28 m/s. According to conservation…

Q: A seagull flies at a velocity of 9 m/s straight into the wind. If it takes the bird 20 min to travel…

Q: Two cars are heading towards one another. Car A is moving with an acceleration of aA = 14 m/s2. Car…

A: Take the initial position of car A to be x=0. Let the two cars meet when the car A is at a distance…

Q: The position of a particle as a function of time is given by: F(t) = (8t + 6t³)i + (10-2t²)ĵ where r…

Q: A cross-country runner has a speed of 3.30 m/s and runs in a direction 20.0° counterclockwise from…

Q: 6. A car is headed into town along a straight highway (x=0m is the center of town), and its position…

Q: a catapult launches a test rocket upward from well giving it a speed of 50 m/s at ground level. the…

Q: Tectonic plates are large segments of the Earth's crust that move slowly. Suppose that one such…

Q: 8. A ball is thrown vertically upward from the edge of a bridge 29.5 m high with an initial speed of…

A: Given :h=29.5 mu=13 m/s (vertically upwards)h→height of the bridgeu→initial velocity of the ball

Q: Two dogs stand facing each other a distance of 105 meters apart. They begin to run towards each…

Q: golf ball is hit horizontally off the edge of a 21 m high cliff and lands a distance of 36 m from…

A: Given Height of Cliff, h = 21 m Horizontal distance, D = 36 m Initial velocity, in x direction is…

Q: Two cars are moving towards an intersection. One car is 150 meters north of the intersection and…

Q: 1. A person standing over an atrium 23.5 m below them and tosses a baseball straight up at 22.1 m/s.…

Q: A student begins at rest and then walks north at a speed of v1 = 0.55 m/s. The student then turns…

A: Given: Speed v1 = 0.55 m/s along north direction Speed v2 = 0.53 m/s along south direction Taking…

Q: Two stones are separated by a vertical distance y (in meters) from each other. One stone is thrown…

A: GivenDistance between two stones = y m V01 (Initial velocity of first stone ) = -35 m/sV02 ( initial…

Question

Two stones are separated by a vertical distance y (in meters) from each other. One stone is thrown down with an initial velocity v₀₁ = -23 m/s and the other is thrown up from the ground with an initial v₀₂ = 8 m/s at the same time the other is thrown. How far, in meters, must they be separated so they hit the ground at the same time? What is the impact velocity, in meters per second, of the first stone? What is the impact velocity, in meters per second, of the second stone?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Introduction:

VIEW

First part:

VIEW

Second part:

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

The position of a particle changes from r1= (1.07cm)i+(4.87cm)j to r2=(-4.22cm)i+(4.87cm)j. What is the magnitude of the particles's displacement in cm?
▼ ▼ A golf ball is struck with a velocity of vA = 78 ft/s as shown in (Figure 1). Figure Part A UB= Submit Part B t = VA Determine the speed at which the ball strikes the ground at B. Express your answer in feet per second to three significant figures. Submit 45° 15. ΑΣΦ ↓↑ vec Request Answer Value μA 10 ·d. Request Answer Determine the time of flight from A to B. Express your answer to three significant figures and include the appropriate units. Units < World B ? 1 of 1 Posty ? ft/s
hits the ball and gives it a velocity of 51 m/s to the north. the ball during the 1.0 x 10-³s when it was in contact with the bat? Ans: 9.4 x 104 m/s² north 30rb Question 6. Suppose a car is traveling at + 22.5 m/s, and the driver sees a traffic light turn red. After 0.401 s has elapsed (the reaction time), the driver applies the brakes, and the car decelerates at 4.00 m/s². What is the stopping distance of the car, as measured from the point where the driver first notices the red light? Ans: 72.3 m 81 to mort 35 bu do add asid Hed T the instant
The velocity of a particle is given by the function v(t)=t^2-7t+1027 , where the velocity is measured in meters per second. Determine the total displacement of the particle and the total distance travelled by the particle in the first ten seconds of its travel. Give exact answers, and provide units on your final answer.
An object traveling at velocity v0 breaks into two objects, as shown in the diagram. What are the velocities of the 2 objects, in relation to v0 if Θ1 = 64 degrees and Θ2 = 25 degrees?
A kicker kicks a football upward from the ground at an initial velocity of 63 feet per second. The height of the football stadium is 70 feet. The height an object reaches with respect to time is modeled by the following equation: gr +vt +s In the equation, g is -32 ft/sec', v is the initial velocity, s is the initial height, and t is time in seconds. Write a function that models this situation as related to the number of seconds since kickoff. 1. 2. Sketch and describe the graph of this function, including intercepts and maximum height. 3. At what times is the football the same height as the stadium? Explain your answer. 4. Suppose the initial velocity of the kicked football is 68 feet per second. At what times is the football the same height as the top of the stadium? Justify your answer. Now consider that the kicker is trying to kick an extra point. A linebacker on the opposing team has a maximum reach of 10 feet, which includes his height, full extension of his arms, and his…
A dog jumps in a horizontal direction with an initial speed of vo=3.2 m/s from the edge of a table and lands L=2.3 m away from the table. a.hold long does it take the dog to hit the ground? (3 sig fig) b.what is the height in meters of the table? (3 sig fig)
A cannonball is fired at 175 (m/s), straight up in the air, by accident. Quickly realizing the error, the commanding officer orders the gunners to fire another cannonball straight up to hit the one coming down. In order to be safe, the two cannon balls must explode at a given hight of 585 (m). What is the maximum time (in seconds) the second cannonball can be fired after the first, such that the two cannaballs collide, exploding safely above the regiment? How fast (velocity) will the first cannon ball be traveling just before the collision? How fast (velocity) will the second cannon ball be traveling just before the collision?
A soccer ball is kicked from the ground with an initial speed of 18.9 m/s at an upward angle of 48.1. A player 48.4 m away in the direction of the kick starts running to meet the ball at that instant. What must be his average speed if he is to meet the ball just before it hits the ground? Neglect air resistance.Use g-9.81 m/s². Number 4.32 Unit m/s
Two cars are driving, car 1 has initial position -3500m, initial velocity -55m/s and acceleration +1.25m/s2, car 2 has initial position +4100m, initial velocity -35 m/s and acceleration +0.75m/s2; a) How much time until they collide? b) What is the x location where they collide, and the final velocity of each car?
Two people each kick identical balls at the same angle. Person A kicks it at three times the speed of person B. How many times higher does A's ball go than B's? 0 3 O 0.33 O 4
A cannonball is fired at 171 (m/s), straight up in the air, by accident. Quickly realizing the error, the commanding officer orders the gunners to fire another cannonball straight up to hit the one coming down. In order to be safe, the two cannon balls must explode at a given hight of 636 (m). What is the maximum time (in seconds) the second cannonball can be fired after the first, such that the two cannaballs collide, exploding safely above the regiment? (s) How fast (velocity) will the first cannon ball be traveling just before the collision? (m/s) How fast (velocity) will the second cannon ball be traveling just before the collision? (m/s)