Position vs. Time 25- 20 15- 10 40 60 70 10 20 30 50 80 Time (s) Figure 2.62 Position (m)

Q: ight line as a function of time. Determine the magnitude of the total displacement at the end of 8.0…

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Q: The motion of particle is defined by the relation -t-lot² +8+ +12, where X and t are expressed in…

A: The equation of motion of the particle is, x=t4-10t2+8t+12........(1)

Q: The PASCO Motion Sensor has a resolutic neasurements. It estimates the acceleration nula a = (xp-2…

A: Given:- The PASCO Motion Sensor has a resolution of one millimeter in position measurements. It…

Q: +s2) m/s, where s is in A particle moves along a straight line with an acceleration of a = 5/(3s'…

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Q: 2.53 • CALC The acceleration of a motorcycle is given by a,(t) = At – B², where A = 1.50 m/s³ and B…

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Q: The instantaneous velocity of an object moving in two dimensions is given by dv x dvy 5 了+了 dt dt…

A: City of a particle if the rate of change of displacement of that object with respect to time. In…

Q: unction of time given by the (+) – (7 40 cm) cos [(A (t) 7 Δ0

A: Given values:- Mass,(m)=2.50 kg ----(1) Time,(t)=1 sec ----(2) Spring has displacement function as:-…

Q: If the position of a particle is defined by [2 sin (7/5)t + 4] m, wheret is in seconds, construct…

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Q: A particle moves in a straight line with the given velocity v(t) = 41-2 – 1 (in m/s). Find the…

A: Consider the given data as below. Velocity, vt=4t-2-1 ms The time interval is 12,7.   a Calculate…

Q: The position of a particle is given by the equation s = f(t) = ß – 62 + 9t , where t is measured in…

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Q: The position of a particle is given by 7(t) = t² i + lIn(t)² j + sin nt k where t is measured in…

A: r→=t2 i^ + ln(t2 )j^ + sin πt k^velocity, v→=dr→dt= 2t i^ +2tj ^+πcosπt k^acceleration, a^=dv→dt=2…

Q: For the vertical displacements, Ay = 0.5 ст, 1.2 ст, 2.4 ст, 4.1 cm, and 6.3 cm each for equ %3D…

A: given , vertical displacement , ∆y = 0.5 cm , 1.2 cm , 2.4 cm , 4.1 cm , 6.3 cm  interval time , ∆t…

Q: ssume the velocity of a person traveling along a straight hiking trail is given by the lonictod The…

A: Suppose the velocity of a person traveling along a straight hiking trail is given by the graph drawn…

Q: The velocity of a particle is given by v = 23t2 - 110t + 52, where v is in meters per second and t…

A: Given data: Velocity of particle, v=23t2-110t+52

Q: A particle moves according to a law of motion s = f(t), t2 0, where t is measured in seconds and s…

A: since the question contains more than three subparts, the solution for the first three parts is…

Q: Assume a reaction time of 0.88 s and a constant acceleration of -6.7 m/s2 and estimate the total…

A: Calculating the distance travelled for the initial reaction time :

Q: An object’s position function, s, in meters, is given by s(t)= -4.9t 2 +13.2t, where t is measured…

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Q: Consider a partide moving along The x-axIs. is position is given by function x= (50mls) (6 )= where…

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Q: The position of a particle on a line is given by s(t) = 3t^3 - 2t^2 t + 2, %3D where t is measured…

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Q: Ex 3:- r(1) is the position of a particle in space at time t. Find the particle's velocity and…

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Q: (dy/dx) 2. The velocity of a body as a function of time is given as ν (t) = 5e -2t + 4, where t is…

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Q: If displacement of particle is given as x -2+21+2 then what will be instantaneous velocity at t 4s

A: Displacement, X= t2+2t+2 Time= 4 second

Q: A ball is thrown directly upward from a height of 4 ft with an initial velocity of 28 ​ft/sec. The…

A: Given data The initial velocity of the ball is u = 28 ft/s. The height from which the ball is thrown…

Q: If a particle is moving on a path with the given equation y = 3t^2-t+5, find its rate at (2,1),…

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Q: In one dimension, does a negative acceleration mean that a particle is necessarily slowing down?…

A: given:- object moves in 1d with negative acceleration .

Q: Using approximate values, calculate the slope of thecurve  to verify that the velocity at t = 30.0…

A: The slope of the position (x) vs time (t) curve gives the velocity. From the graph, at t1=10 s, x1=5…

Q: f(t) = - 16t + 389t+ 21 is the height (in feet) of a ball launched straight up t seconds after it is…

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Q: The function s(t): describes the distance (in feet) of an object from a specific location t + 1 P…

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Q: A particle's motion is following the position (x) versus time (t) equation of x(t) = 3t^2 - 5t +7,…

A: Position of particle is given as: x = 3t2 - 5t + 7 Where , x is Position of particle  And t is time…

Q: The velocity of a partiole an a fanction of time is given by )= (18-3)t-8 where the velocity is in…

A: The velocity is given by, vt=18t-3t2i-8j

Q: The displacement of a particle is given by x(t) = (4t – 3t2) m where t is measured in units of…

A: We know that the velocity of any particle is the time rate of change of its displacement from a…

Q: Human reaction times are worsened by alcohol. How much further (in feet) would a drunk driver's car…

A: Given data The initial speed of the car is, u=50.0 mi/h The time of reaction in sober is ts=0.33 s…

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

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Q: If the position of a particle is defined by s= [2sin(π/5)t+4] m, where t is in seconds, construct…

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Q: At time t=0 s, an object is observed at x=0 m; and it’s position along the x axis follows this…

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Q: A particle starts from rest at x=-3.0mand moves along the x-axis with the velocity history shown.…

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Q: The position of a particle in millimeters is given by s = 30 - 13t + t? where t is in seconds. Plot…

A: Given, The position of a particle is given (in mm) by s = 30-13t+t2 , where, t is in seconds. We…

Q: If a bullet is shot straight up with an initial velocity of 48 feet per second, its height s after t…

A: Given data: s=-16t2+48t Need to determine the time it takes for the bullet to return to the ground.

Q: 3- an object moving according to this equation 7 = (3t² – t)i + (3 – 2cos t)j + 5e-3tk find : (a)…

A: The equation of motion is, r→=3t2-ti+3-2costj+5e-3tk

Q: The displacement of a particle is given by s = 4t³ - 60t² + 100t - 58 where s is in feet and t is in…

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Q: A dolphin in an aquatic show jumps straight up out of thewater at a velocity of 13.0 m/s. (a) List…

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Q: Complete solution and answer must be simplified. A particle is moving on a straight line has…

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Q: The position of a particle moving along an x-axis is given by x = 20t2 − 3t3, where x is in meters…

A: Position of particle: xt=20t2-3t3   .... 1 (d) Maximum possible coordinate reached by particle:…

Q: For plane motion of particle , if the velocity along y-axis: Vy = 50 – 16 t and x = 100 – 4t where…

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Q: 12–6. The position of a particle along a straight line is given by s = (1.5t 3 – 13.5t² + 22.51) ft,…

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Q: The velocity of a particle is given by v = 23t2 - 110t + 52, where v is in meters per second and t…

A: Given data: Velocity of particle, v=23t2-110t+52

Q: An object's position is defined by x(t) = 0.65(t^2) - 0.23t - 5 in meters. What is the instantaneous…

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Q: Two motor vehicles, BMW and Ducati, are driving at SLEX southbound lane. At 9:00:00 am they are 100…

A: The equation of motion we use to solve this question is s = ut+12at2, where s = distance covered u =…

Q: 8) The equabion of motion of a parbicle is s=2€-3€-364, where s is in meters and & is in seconds. 1…

A: Answer Given  S = 2t3- 3t2-36t We have to find acceleration after 1 sec

Estimate of calculation