A ball is thrown vertically upward from the surface of the earth with an initial velocity of 30 m/s. Two seconds later a second ball is thrown upward from the same point with a velocity of 24 m/s. Derive an expression for the relative posi- tion, velocity, and acceleration of ball 1 with-respect-to ball 2 for time t≥ 2 sec. (neglect air resistance and assume acceleration of gravity is 9.81 m/s². For the two balls thrown in problem 6, how far above the earth will the two balls meet (i.e. what is their height when they pass each other)?

A ball is thrown vertically upward from the surface of the earth with an initial velocity of 30 m/s. Two seconds later a second ball is thrown upward from the same point with a velocity of 24 m/s. Derive an expression for the relative posi- tion, velocity, and acceleration of ball 1 with-respect-to ball 2 for time t≥ 2 sec. (neglect air resistance and assume acceleration of gravity is 9.81 m/s². For the two balls thrown in problem 6, how far above the earth will the two balls meet (i.e. what is their height when they pass each other)?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: the vertical ground reaction force from a force plate during the contact phase for a 55 kg runner.…

Q: i) Calculate the acceleration of mass A in the system with three 10 kg cylinders as shown in Figure…

Q: Q. 1 A bullet is fired with initial velocity of 100 m/s from the hill at point P at an angle of 30°…

A: Hello. Since you have posted multiple questions , we will solve the first question for you. If you…

Q: A balloon goes vertically upward at a constant speed sec/m7, and when it was at a height of 134.4…

Q: An egg supplier has the following installation to attract passersby and entertain their customers.…

Q: At height H above the ground, a hollow sphere of mass m and radius r is released from rest from the…

Q: A conveyor can accelerate at a constant 0.3 ft/s², decelerate at a constant 0.7 ft/s², and move at a…

A: Given: Constant acceleration and deceleration are 0.3 ft/s2 and 0.7 ft/s2. Maximum speed is 6 ft/s.…

Q: The driver of a truck has an acceleration of 0.65g as the truck passes over the top of a hump in the…

Q: An elevator whose floor to ceiling height is 2.75m starts ascending with constant upward…

Q: A 10-kg body is pulled upward with an acceleration of 0.40 m/s. Calculate the tension in the cord.

A: Mass (m) = 10 kg Acceleration (a) = 0.4 ms2

Q: Q3/ A subway traveling at 40 km/hr decelerates as it reaches point A and slows down with a constant…

Q: A steel wire connects two trains at rest on the same track. The wire will snap if it is stretched by…

A: In this problem, it is asking about the reason behind snapping of wire due to stretching when an…

Q: A marble slides down on a curved path defined by the parabola y = 0.4x². When it is at point "A" (X₁…

Q: 3. A motorcycle travelling at 114 km/h decelerates to 30 km/h in a distance of 6236 m. Calculate the…

Q: In an archery test, the acceleration of the arrow decreases linearly with distances from its initial…

Q: In an experiment to test Newton’s second law of motion, we measure the acceleration of two masses (2…

A: given: mass of first object= 2 kg mass of second object=3 kg tension on the rope= T

Q: akeoff roll (ground roll) is the portion of the takeoff procedure during which the airplane is…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 3. A ball is thrown vetically into the air at 44m/s, After t₁ second another ball is thrown…

A: Calculate the time to reach by the first ball during returning at height 90 m.…

Q: Can you answer part c of problem 1 in the image?

A: Given, The speed of ball at A, Va = 1.2 m/s mass of the ball, m = 1.5 kg The centripetal…

Q: Part (C)- Select the proper answer of the followings: 1. The direction of linear velocity of any…

A: As per bartleby guidelines we are allowed to solve only 1st 3 subparts if multiple subparts are…

Q: Q4(a) A body starts from rest and accelerates at a rate of 2 m/s? for 5 seconds, then runs at a…

A: Given Data Initial velocity, u=0m/s Acceleration, a=2 m/s2 time, t=5seconds…

Q: A small rocket is launched vertically from rest and it accelerates uniformly at 26 m/s² for a period…

A: Please see the attached images for the solution.If there are queries or if the images are not…

Q: average acceleration?

A: Given: Initial velocity u=0 Final velocity, v=40 mi/hr time, t= 12 s To determine: The average…

Q: Note: use g=10 m/s In your calculations I,R Two blocks with masses m, and m2 are connected by a…

A: The above question is based on Equilibrium of forces in the mass pulley system on the inclined…

Q: A young woman rolls a ball up an incline and then allows it to fall back to her. The acceleration of…

A: Given data: a=0.38gv0=3.96 s Need to determine the total time necessary for the ball to return to…

Q: A cart of mass m is pushed against an ideal spring (Obeying Hooke's law) of spring constant k. The…

A: Applying the Conservation of Energy from Point A to B 12×k×d2=12×m×V2k×d2=m×V2V2=km×d2V=km×d

Q: b) A truck of total mass 18tonne descends a hill with a gradient of 1 in 14, i.e. a vertical…

A: Given thatm=18tonnes=18×103kggradient=1 in 14θ=14°P=900ND=112m

Q: An aircraft, of mass 2000 kg, is following a circular path in the vertical plane as shown in Figure…

A: Givenm=2000kgθ=30oV=150m/sr=1000mT=30kN

Q: 3. A 15-kg rock is dropped from rest on the earth and reaches the ground in 1.75 s. When it is…

Q: A sailboat weighing 980 lb with its occupants is running down wind at 10 mi/h when its spinnaker is…

Q: A car traveling at 13.7 meters per second crashes into a barrier and stops in 0.280 meters. a. How…

Q: A body covering unequal displacements in equal interval of time possesses uniform acceleration.…

Q: A car is travelling at 20m/s along a road. A child runs out into the road 50m ahead and the car…

Q: The 50-N block is originally at rest on the smooth surface. It is acted upon by a radial force of 10…

A: Given Data The weight of the block is: w=50 N The radial force acting is: Fr=10 N The horizontal…

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

A ball is thrown vertically upward from the surface of the earth with an initial
velocity of 30 m/s. Two seconds later a second ball is thrown upward from the
same point with a velocity of 24 m/s. Derive an expression for the relative posi-
tion, velocity, and acceleration of ball 1 with-respect-to ball 2 for time t≥ 2 sec.
(neglect air resistance and assume acceleration of gravity is 9.81 m/s².
For the two balls thrown in problem 6, how far above the earth will the two balls
meet (i.e. what is their height when they pass each other)?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Determining the given variable

VIEW

Step 2: Finding expression of height h1 in terms of time t

VIEW

Step 3: Finding expression for height h2 in terms of t

VIEW

Step 4: Finding expression of velocity in terms of t

VIEW

Step 5: Finding relative position in terms of t

VIEW

Step 6: Finding relative velocity expression

VIEW

Step 7: Finding relative accleration

VIEW

Step 8: Finding time at which both balls meet

VIEW

Step 9: Finding height h at which the balls meet

VIEW

Solution

VIEW

Step by step

Solved in 10 steps with 10 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Refer to the picture below.
Q3: An automobile starts from rest and travels for (5 s) with a uniform acceleration of (+2 m/s?). The driver then applies the brakes, causing a uniform de-acceleration of (-2 m/s). If the brakes are applied for (3 s); (a) How fast is the automobile going at the end of the braking period? (b) How far has the car gone?
A particle is thrown with speed vo from the bottom of an inclined plane that makes an angle with the horizontal. The particle experiences a frictional force and a linear air resistance such that its equation of motion is d²s ds dt dtugsin(0) Here s is distance from the bottom of the plane, p is the air resistance constant, g is the gravitational acceleration and is the coefficient of friction. Determine the maximum vertical height from the horizontal reached by the particle.
Ex.5.10 An elevator starts from rest and rises 40 m to its maximum velocity in Ts with the acceleration recorded as shown. Determine the (a) required time T, (b) max velocity, (c) velocity and position of the elevator at t = T/2. a (m/s) 0.6 T/3 T t(s)
Two American football players with a mass of 75 kg and a mass of 100 kg towards each other at a speed of 6 m/sec and 8 m/sec respectivelythey run. Immediately after hitting each other, they move together at the same speed. Two footballers killed after collisionwhich of the following is its speed?Please select one:a.4.6 m / sb.6.9 m / sc.3.4 m / sd.2 m / se.7.1 m / s
A force "P" with a strength of 260 kg was applied to a point "A" as shown in the figure. Find the perpendicular components of the moment of P with respect to the "O" coordinate origin.
Please answer all. Godbless and Thank you
can you pls also draw a picture/representation of the scenario described? Thanks so much!
A particle of mass 2 kg moves in a curved path. At a particular instant, it has tangential acceleration of 3 ms-2 and normal (i.e. radial) acceleration of 4 ms-2. Which of the following is the correct magnitude of force acting on it ?
(a) A car travels on a simple curve highway as shown in Figure QI(a) having a radius of r= 2500 m such that at point A the car speed is 88 m/s. The driver is then applies brakes casuing a constant deceleration rate. The speed of the car has been reduced to 66 m/s after 8 sec. Determine: VA = 88 m/s 2500 m Figure QI(a): Car travels on highway. (ii) The normal component of acceleration.
Equations of Dependent Motion: Rectangular Coordinates Learning Goal: The blocks A and B shown are initially at rest and have masses of mA = 225 kg and mp 117 kg Neglect the mass of the rope and pulley system and assume block B moves only in the vertical direction, parallel to the y-axis. Neglect the effects of friction. (Figure 1) Figure C 99°F Sunny B 1 of 1 ‒‒ Part A - Acceleration of Block B If the blocks are released from rest, determine the magnitude of the acceleration of block B Express your answer to three significant figures and include the appropriate units. ►View Available Hint(s) aB = Submit Value Part B Acceleration of Block A QA 5 a Value If the blocks are released from rest, determine the magnitude of the acceleration of block A. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) i Units Units ? ?
Consider a satellite on a trajectory around Earth. The velocity of the satellite is 0.1 ê, + 8.1 êg km/s over a range of time of interest. What is the magnitude of Coriolis acceleration in m/s? at an instant when the altitude is 700 km. Assume radius of Earth to be: 6378 km.