Explain the relationship between derivatives and velocity and acceleration.

Q: Choose the correct statements on the motion

A: Given: Figure of a projectile motion.

Q: By how much has the velocity of the object changed over the period of 20 seconds?

A: Divide the graph into the standard figure as shown below.

Q: Derive the Equations of Motion when Acceleration given as a Function of Displacement and Velocity?

A: Given, acceleration a=dv/dt=d2x/dt2 by definition.

Q: Can anything be said about the acceleration of a particle that is moving at a constant speed? Give…

A: Acceleration of an object is defined as its change in velocity with respect to time.

Q: The velocity of a parachutist during free fall is f (t) = 60(1 - e-0.17t) meters per second. (Recall…

A: The physical quantities are classified into two types- scalar and vectors. Scalar quantities are…

Q: what is acceleration defined by

A:

Q: QUESTION 6 Which of the following is NOT an example of accelerated motion? OA.A swinging pendulum…

A: (6) In projectile motion there no  any acceleration in horizontal direction therefore velocity in…

Q: If the distance between two bodies never exceeds a finite limit, the motion is * Bound motion…

A:

Q: Cite an example of something with a constant speed that also has a varying velocity. Can you cite an…

A: For a body having constant speed and varying velocity, its direction of motion has to change…

Q: What is the  Instantaneous Speed?

A: Variation of distance with respect to variation in time at any instant is known as instantaneous…

Q: Provide illustration of a Rectilinear Motion.

A: There are so many examples of rectilinear motion

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

A:

Q: When sailing, the wind feels stronger when you sail upwind (“beating”) than when you are sailing…

A: The flowing wind applies a force (F) on the person of mass m that is given by Newton’s II law of…

Q: A stone is thrown straight up from a pit 10m deep from ground at 36 m/s. i. Find its maximum height…

A: depth, d = 10 m speed, u =  36 m/s

Q: What is an acceleration?

A: Acceleration is defined as rate of change of velocity.

Q: how is velocity different from speed

A: The rate of change of position of a body with time along a fixed direction is called its velocity.…

Q: An object moving along a line has its velocity and acceleration pointing in opposite directions.…

A:

Q: What do vectors and scalars have in common? How do they differ?

A: To describe Vectors and Scalers

Q: When instantaneous velocity and average velocity in a linear motion are equal? Give an example for…

A: When the object is moving with constant velocity and in a straight line, the instantaneous velocity…

Q: If the differentiation of velocity with respect to time is the instantaneous acceleration as time…

A:

Q: A ball tossed vertically upward rises, reaches its highest point, and then falls back to its…

A: A ball tossed vertically upward rises, reaches its highest point, and then falls back to its…

Q: 1. The rate of change of the velocity of an object is:

A: (Note: You have posted many questions which are not interlinked, as per the company policy, only the…

Q: A child moves back and forth on a swing. At the extremes of their motion, you know that O their…

A: a child moves back and forth represents that the child is exhibiting simpleharmonic motion.

Q: What is the displacement of a racecar doing laps on a racetrack as it crosses the finish line?…

A: Displacement is defined as the shortest distance between final position and initial position of…

Q: An explosion causes debris from the ground to rise vertically with an initial velocity of 160 feet…

A: Given data: Initial velocity (v0) = 160 ft/s Height (h) = 300 ft Required: The speed at height 300…

Q: If the speed does not change,but the direction changes,there will be acceleration (true or false…

A: Given data:   Speed constant but direction changes Required: Acceleration present or not

Q: If the initial time is t = 0 s and the final time is the final time shown on the graph, select…

A: Given:

Q: What do you say is the length of a straight line from an object's initial position to its final…

A: A straight line from intial position to the final position of an object is the shortest distance…

Q: the ground with a velocity of 11 m/s. Determine the height (in meter) (?) from the ground where the…

A: Given,  Upward velocity of first ball, V1=6m/s Height, h=12m Velocity of second ball, V2=11m/s

Q: Speed is the magnitude of the velocity. When we say speed is constant, we mean that the magnitude of…

A: The rate of change of velocity is called acceleration.

Q: Are members of the highway patrol interested in a. Your average speed b. Your instantaneous speed as…

A: The members of highway patrol have a key responsibility to check whether the vehicles moving on the…

Q: A tennis boll is shot vertically upward in a evacuated chamber (no air) inside a tower with an…

A: Given Information:- Initial speed of the ball is vi=20.0 m/s RequiF=-mgred:- We have to calculate…

Q: Discuss whether or not it is possible for an object to be increasing in speed as its acceleration is…

A: Speed is the derivative of distance with respect to time. It means increasing speed is the result…

Q: A particle travels along a curved path between two points A and B as shown. Complete the following…

A: In this question we are given that a particle travels along a curved path between two points A and B…

Q: time derivative of velocity is called

A: The time derivative of velocity (v) is called acceleration (a). Mathematically: a=dvdt here, t=time…

Q: A plain flies 660mi from Philippines to Thailand in 1.2 HR when travelling with a tail-wind. The…

A:

Q: What is the acceleration of the particle?

A: Last option is correct   1 km/s2 along z Note that  i , j and k are unit vectors along x , y and z…

Q: A stone is dropped from the deck of a bridge. The sound of the splash reached the deck 3 secs later.…

A: Answer is uploaded in 2nd step.

Q: Where did the value for initial velocity come from?

A:

Q: The figure below shows position as a function of time for a moving particle: s (t). At which point…

A: Given data: Position vs time graph Required: Points at which velocity is positive