The figure gives the acceleration a versus time t for a particle moving along an x axis. The a-axis scale is set by as = 13.0 m/s2. At t = -2.0 s, the particle's velocity is 7.00 m/s. What is its velocity at t = 6.0 s?

Q: Shown is a velocity-versus-time graph for a particle moving along the x-axis. At t = 0 s, assume…

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Q: The position of a dragonfly is given by ř = [2.80 m + (0.04 m/s²)t²]î – (0.02 m/s³) t³ ĵ + (0.06…

A: the position of a dragon fly is given by : r→ = [2.80 + 0.04t2]i^ - 0.02t3j^ + 0.06t2k^

Q: An astronaut has left an orbiting space shuttle to test a new personal maneuvering unit. As she…

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Q: A particle moves along the x-axis according to the equation x(t) = 2.0 − 4.0t2 m. What are the…

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Q: A particle is undergoing a uniform rectilinear motion and the displacement as a function of time is…

A: Displacement function, r(t) = 6t4-2t3 -12t2+3t+3  Average velocity, v = ?  Time at which…

Q: Given the position versus time plot of an object, which of the following time is the object not…

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Q: A student drives a moped along a straight road as described by the velocity versus time graph in the…

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Q: The velocity of an object moving along the x-axis is given in m/s by v(t) = t2 − 6t + 8, where t is…

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Q: 5. In 5.0 s, a particle moving with constant acceleration along the x axis goes from x = 20 m to x =…

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Q: An object starts at the origin with an initial velocity of v0 = 10.0 m/s i + 15.0 m/s j. The object…

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Q: A graph of position versus time for a certain particle moving along the x-axis is shown in the…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: At time t = 0, a particle has a velocity of m a(t) v = 4.00. The following graph shows the particles…

A: Dear student The area under acceleration- time graph gives us the total change in velocity of the…

Q: A particle moving along the x-axis has its velocity described by the function v_x =2t2m/s=2t^2m/s,…

A: Given data: Velocity function of particle  V = 2t2 m/s Initial position x0 = 2.8 m at t = 0 s

Q: A velocity-time graph for an object moving along the x axis is shown in the figure. Every division…

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Q: Given the position versus time plot of an object, which of the following statement is correct? 1.0F…

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Q: The position versus time for a certain particle moving along the x axis is shown in the figure. Find…

A: velocity at a point on position time graph can be obtain by calculating slope at that point. formula…

Q: The figure represents the velocity of a particle as it travels along the x-axis. At what value (or…

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Q: A particle moves along the x axis and its position as a function of time is x(t) = (18.9 m/s)t -…

A: The instantaneous velocity of an object or particle is defined as the rate of change in its position…

Q: A particle moves in the x-y plane, starting from the origin with an initial velocity of ( 4i -8.7j)…

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Q: A hungry whale shark is swimming horizontally back and forth looking for food. The motion of the…

A: for displacement (x) vs time (t) graph, Average velocity is given by v⇀avg=Total displacementTotal…

Q: The position of a particle moving along the x axis depends on the time according to the equation x =…

A: Given data:  x = ct4 - bt5  where c = 2.5 m/s4 b = 1.2 m/s5

Q: During a very short trip, the magnitude of the car's initial and final velocity are shown below. If…

A: 3. Initial velocity vi=-30cos45∘i^-30sin45∘j^=-21.21i^-21.21 j^` Final velocity…

Q: A graph of position versus time for a certain particle moving along the x axis is shown in Figure…

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Q: The figure shows the acceleration-versus-time graph of a particle moving along the x-axis. Its…

A: The area under acceleration time graph gives velocity. Let v0 be the initial velocity, v be the…

Q: Powers deploys a jet pack strapped on his back 7.0 s after leavling the helicopter, and then he has…

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Q: A particle's position varies with time given by the following equation: x(t) = 35.2[m] +…

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Q: Q(24) A stone is thrown straight up with an initial speed of 25 m/s. What is the magnitude of the…

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Q: A particle moves in a straight line with an acceleration sin(2nt) m/s² at time t seconds. The…

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Q: Position of a particle moving along the x-axis varies in time according to the following expression…

A: Given data:  Position as function of time xt = -2.0 ms3t3 + 6.0 mst - 2m Required: The average…

Q: The position of a rabbit along a straight tunnel as a function of time is plotted in the figure.…

A: The instantaneous velocity at a particular point is given by the slope of the tangent line drawn at…

Q: The velocity of a particle moving forward is shown in the figure. If S, = 0, V. = 0, and a = 0: %3D…

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Q: Given that the position of a particle is defined in terms of time by the equation below, where x is…

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Q: The equation x(t) = 2.0 − 4.0t2m describes the motion of a particle that moves along the x-axis.…

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Q: A position–time graph for a particle moving along the x axis is shown. (a) Find the average velocity…

A: Given data The time interval is given as t1 = 1.50 s to t2 = 4.00 s. a) The average velocity is…

Q: The motion of a particle is given by x = A sin3(ωt). Enter an expression for the particle's…

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Q: At t = 10 s, a particle is moving from left to right with a speed of 5.0 m/s. At t = 20 s, the…

A: at time (t) = 10 seconds, the velocity of particle = 5 m/s at time (t) = 20 seconds, the velocity of…

Q: The graph below plots the position versus time for a particular particle moving along the x-axis.…

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Q: A graph of position versus time for a certain particle moving along the x-axis is shown in the…

A: velocity is given by distance / time    and if graph of distance and time is given them velocity is…

Q: The figure gives the acceleration a versus time t for a particle moving along an x axis. The a-axis…

A: Consider the area under the curve show the velocity, so the average acceleration is,

Q: The position of an object is given by x = at3 - bt2 + ct, where a = 4.1 m/s3, b = 2.2 m/s2, c = 1.7…

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Q: The figure gives the acceleration a versus time t for a particle moving along an x axis. The a-axis…

A: Given information:Scale a-axis = 16 m/s2.Velocity at t = -2 s is 10 m/sVelocity at t = 6 s is?The…

Q: A particle moves in a straight line with the acceleration shown in the figure. Knowing that the…

A: (a) In three different periods (t0 = 0 s to t1 = 8 s, t1 = 8 s to t2 = 12 s, and t2 = 12 s to t3 =…

Q: The position versus time for a certain particle moving along the x axis is shown in the figure. Find…

A: Ans:- Image-1

Q: Suppose an object starts at time t=0s at a position defined as x=0m. At t=0.5s, the object is at…

A: Recall Vavg=∆X∆tAndaavg=∆V/∆t

Q: A particle moving along the xx-axis has its position described by the function x=(4t3+5t+2)m, where…

A: Given : x=(4t3+5t+2)m

Q: The position versus time for a certain particle moving along the x axis is shown in the figure…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: This graph shows the position of a particle as a function of time. What is its instantaneous…

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Q: A particle starts at the origin (x = 0) and moves in one dimension. The figure shows the velocity of…

A: Given:

Q: An object travels non-uniformly along the r-axis. This object's position-versus-time graph is shown…

A: Speed at an instantaneous point is given by the slope of tangent of the curve at that point . We can…

Q: If a particle’s position is given by the expression x (t) =3.4(t²− 2x −8)³ − 5.4(t²− 2x −80)²+12)…

A: Velocity v= 51(25-2x-8)^2-108(25-2x-80) 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 –