Consider the following velocity-time graphs and solve the displacement.

Q: The acceleration of an object, starting from rest, is shown in the graph below. Other than at t = 0,…

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Q: Draw (a-t), (v-t), (s-t) graphs of a particle that has a constant acceleration of 9 m/s² for six…

A: From the Laws of Motion, we know that, Vf-Vi=at , where a is the acceleration at time t. And also…

Q: of time

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Q: Why is a time interval always positive? If the average acceleration of a car is zero in a given time…

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Q: b. v (m/s) 15 10 5 10 15 t (s) C. v (m/s) 8 4

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Q: The accompanying figure shovis the position versus time curve for a certain particle moving along a…

A: As, from the given graph, The instantaneous velocity is define as slope of the position vs. Time…

Q: Over the time interval shown, what can be said of the acceleration of the particle?…

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Q: Using the given, derive the formula to find the total time of flight (tT) in terms of initial…

A: Given data; Derivation for maximum height. Diagram for projectile motion.

Q: When driving a car is it possible to have a negative velocity and acceleration? Given an example.

A: It is possible to have negative velocity and acceleration. Velocity and acceleration are vectors.…

Q: Which of the following is the velocity graph for a negative initial velocity and a positive…

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Q: During the time that the acceleration of a particle is zero, its velocity vs. time graph is a…

A: A. True Reason if the acceleration of the particle is zero it means velocity is not changing it…

Q: When given this position vs. time graph, a.) draw a corresponding velocity vs. time graph and b.)…

A: From the given position time graph, we need to find out the velocity time graph and acceleration…

Q: Give an example where both the velocity and acceleration are negative

A: Velocity and acceleration

Q: A particle starts from rest at x = -3.3 m and moves along the x-axis with the velocity history…

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Q: The position of a particle at time t (s) is s(t) = √(t2 + l)m. Compute its average velocity over [2,…

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Q: The figure gives the acceleration a versus time t of a particle. Which of the graphs could give the…

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Q: A bird changing direction is 3.8s while flying from point 1 to point 2. What is the bird's average…

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Q: Sketch a velocity-versus-time graph for a rock that is thrown straight upward, from the instant it…

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Q: In a graphing paper, graph the function ix = (t -t + 2) in displacement x vs time t graph (x vs t)…

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Q: Given that a particle with a constant acceleration of 9 m/s? for 6 seconds and a starting velocity…

A: Given that, Acceleration of the particle, a = 9 m/s2 Time, t = 6 s Initial velocity of the particle,…

Q: The equation below gives the velocity of a particle that moves along a straight line. Find the…

A: Given information: The velocity of the particle as a function of time: v(t)=1sin(t)+1 We know that…

Q: Only flat line segments on speed-time graphs have zero acceleration. true or false

A: Given:- Only flat line segments on speed-time graphs have zero acceleration. Find:- it is true or…

Q: Write down the relationship between acceleration, initial velocity and final velocity.

A: Acceleration can be defined as the rate of change of velocity.

Q: The minimum displacement required to stop a car moving at velocity 20m/s is 50m. How long does it…

A: Time to stop the car will be 5 second.

Q: Figure shows the graph of the position x as a function of time for an object moving in the straight…

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Q: For an object in uniform motion, displacement in a time period can be determined by calculating the…

A: Displacement is area under velocity time graph.

Q: What is the initial velocity and position for the displacement. versus time function…

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Q: Acceleration increases with time. Which of the following describes the associated velocity versus…

A: Given: The acceleration of the object increases with time. Introduction: The acceleration of the…

Q: In kinematics, the velocity function is all of the following except  A. Function of time  B.…

A: Option D- None of the above

Q: Sketch a graph of position as a function of time for an object that is slowing down and has positive…

A: When the object slows down then its velocity have negative slop. The position time graph is as…

Q: On a velocity-time graph, how does one calculate the displacement?

A: Velocity-time graph is the graph drawn with time in the x-axis and velocity in the y-axis.

Q: Which of the following is a velocity graph for a positive initial velocity and positive acceleration…

A: Required : The correct graph.

Q: Why does a constant displacement plot vs time represent zero velocity?

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Q: Can you please show to derive this equation of constant acceleration ω = αt + ω0

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Q: The first graph here gives the velocity v versus time t of a particle. Which of the six other graphs…

A: Slope of velocity time graph represents acceleration.

Q: x(t) (Position) Time (s) v(t) (Velocity) Time (s)

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Q: Image shows the position graph of a car traveling on a straight road. At which labeled instant is…

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Q: During a given time interval the average velocity of an object is zero. What can you say conclude…

A: Average velocity is zero

Q: The motion of a particle is described in the velocity vs. time graph shown in the above figure. Over…

A: Required : The acceleration of motion.

Q: what are the initial and final velocities of a constant acceleration problem where the final…

A: Given that:- Net displacement=100m

Q: sketch a graph of velocity vs time for the 12 second time interval An object starts at x = 0 with…

A: Given- An object starts at x = 0 with an initial velocity of -2 m/s and moves in astraight line…

Q: A car has a max deceleration of 6m/s² and the driver has a reaction time of 0.5s. He drives at 20m/s…

A: Given data: Deceleration (a) = -6 m/s2 Reaction time (t) = 0.5 s Initial velocity (V0) = 20 m/s…

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 –