Exercise 3 You are sitting at your computer trying to remember all of the things about Calculus that you should know. You then see a red balloon inflating on your screen. You somehow find out that air is being pumped. into the round red balloon at 5.5 cubic inches per minute. Your job is to find the rate of change of the radius when the radius is 2 inches.

Q: A student drops a ball from a height of 37.0m. If the ball increases speed at a uniform rate of…

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Q: ck my work mode: This shows what is correct or incorrect for the work you have completed so far. It…

A: in this question we determine  average velocity.

Q: What does the slope of a position vs. time tell you?

A: The speed of an object is defined as the ratio of the distance to the time period of motion. The…

Q: how can i find the acceleration by using kinematic equations?

A: As we know, there are three famous kinematic equations at constant acceleration, we can calculate…

Q: The equations of kinematics, which are given in the table Table 2.4 Equations for Motion in a…

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Q: QUESTION 2 2.A ball rolls to the right along the floor. Describe which way the acceleration of the…

A: Given : A ball is rolling to the right. Asked to describe the direction of the acceleration for…

Q: Which of the following motion depicts a vehicle speeding up? (There may be multiple right answers.)

A: Required:  The speeding up motion of the vehicle

Q: When a ball is launched vertically, answer True/False for the following: The velocity of the ball…

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Q: bo A fox locates its prey, usually a mouse, under the snow by the slight sounds that it makes. The…

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Q: ball is thrown horizontally off a cliff where it falls to the ground in 5 seconds. Assume downwards…

A: Motion of projectile can be divided into x component and y component.

Q: What is projectile motion? Also give an appropriate examples of projectile motion.

A: Projectile motion: An object thrown with initial velocity and which is then allowed to move under…

Q: 1) Select the situation that is impossible and explain why. A) An object has velocity directed east…

A: When a particle move with constant velocity then net force or net acceleration should be zero on…

Q: A truck moves 70 m east, then moves 120 m west, and finally moves east again a distance of 90 m. If…

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Q: When solving a uniform motion problem , how does creating a table help you?

A: Uniform motion problem Uniform motion issues can be quickly transformed into formulas of distance,…

Q: An object has an acceleration of zero. Which statement about the object's motion is correct?

A: given a=0

Q: is a function of displacement, integrate a ds = v dv to obtain the velocity as a function of…

A: Answer- TRUE

Q: why does the displacement become zero just as a horse crosses the finish line . b) why is the…

A: The vector difference between an object's ending and beginning locations is known as displacement.…

Q: Tobio threw the volleyball straight upward. It reaches the maximum height, h, after 3s from its…

A: Two kinematics formulas are useful for this problem 1. v = u + at 2. v2=u2+2as where, u = initial…

Q: Derive the equation for velocity and acceleration given that position x = v0t + 1/2 at2, where v0…

A: Velocity can be expressed as, v=dxdt=ddtv0t+12at2=v0+12a2t=v0+at

Q: How acceleration can be obtained from displacement and time?

A: The value of slope from the velocity-time graph gives acceleration. If the value of the slope is…

Q: etch a position graph that has a negative acceleration and a positive initial velocity.be sure to…

A: Given data: Acceleration =-a Initial velocity = u

Q: Give an example in which there are clear distinctions among distance travelled, displacement and…

A: We consider a journey from home to college and back.

Q: What is the difference between the values of the average speed and average velocity when distance…

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Q: ind the velocity and acceleration of the position function at t = -1 r(t) = (3t2 – 3t)î + (5t – 3)ĵ…

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Q: How do I calculate average velocity and average time?

A: Average velocity is defined as the ratio of change in velocity by the change in time. The…

Q: State whether the velocity of an object can reverse direction while maintaining a constant…

A: The velocity of the object can reverse its direction even though it maintains a constant…

Q: 22. When can we apply the equations of kinematics for an object in one dimension? * The position of…

A: The magnitude of the velocity will increase in time only in cases when the velocity is in the same…

Q: The area under the line in a velocity vs time graph represents the acceleration O velocity O change…

A: Introduction: The velocity of the object is defined as the rate change of velocity with respect to…

Q: The head of a woodpecker is moving forward at a speed of 7.49 m/s when the beak makes first contact…

A: forward speed v=7.49m/s  penetrating distance s=1.87*10^-3m 1mm=10^-3

Q: < Which of the following best compares average speed with average velocity? 2 A Average speed is…

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Q: How do I find initial velocity without the distance

A: Let , the initial velocity be denoted by 'u' , final velocity be denoted by 'v' , acceleration be…

Q: Draw a motion diagram for the part of the jump where the person is in the process of pushing off the…

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Q: A plane flying at a constant altitude (height) of 5120m and a speed of 192m/s drops a piece of cargo…

A: Write the value of height of the plane from the surface of water.   h=5120 m   Write the constant…

Q: Two vectors in Cartisian coordinates have components A= (2,2,3) and B =(4,-1,7). What is the dot…

A:

Q: What is the difference between displacement and distance traveled? Give an example of each.

A: Since there are multiple questions posted we will answer the first question for you. If you want any…

Q: Velocity (m/s) 0.5 -0.5 A Time (s) 5

A:

Q: A baseball is hit horizontally with an initial velocity v at time t = 0. Which graph below best…

A: Write the boundary conditions when the boll strike with wall. v(0) = u2        = v0 y(0) =y0 x(0) =…

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –