Q/ The acceleration of a particle is defined by the relation a 3e0.2t where a and t expressed in ft/s? and seconds, respectively. are Knowing that x = 0 and v = 0 at t = 0, determine the velocity and position of the particle when t= 0.5 s.
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A: (a)The x component of the rabbit’s acceleration is,Substitute the values,
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Q: 1. Sub-atomic particles A and B are moving in a 100-meter dash line in 10s. Particle A moves such…
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A: vf = vi + a*t
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Q: A particle’s acceleration along an x axis is a = 5t, with t in seconds and a in meters per second…
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Q: ent from the equation, y
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Q: The acceleration of a particle along an x axis is a = 6.2t, with t in seconds and a in meters per…
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Q: ong x-axis is defined by v=s3-4s2+6s where v is in m/s and
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Q: The velocity of a particle along the s-axis is given by v = 1054/3 where s is in millimeters and vis…
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Q: ne acceleration of a car is given by a = [ (3t^3 + 4t)i + 6tj + (8t – 5)k Is^2. Determine the…
A: acceleration of a car is given by:a=3t2+4ti+6t j +8t-5k
Q: The motion of a particle is governed by the relation a = 4t2, where a is in m/s? and t in secs. When…
A: According to question we need to find maximum velocity.
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A: Given acceleration equation is a(t) = t2sin(t+4) And At t = 0 , velocity v = -4
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A: The position of a particle is givne as : x = 2 + 3t - 4t2The velocity is given by the formula : v =…
Q: object is moving along the x-axis. At t = 0 it is at x = 0. Its x-component of velocity Vx as a…
A: Given At t =0, X =0 Vx(t) = at - Bt3, where a = 6.8 m/s2 and B = 4.0 m/s4 at ,t = 1.8 sec , Vx(t)…
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Q: The rocket starts from rest t 0 and travels straight up. its height above the ground can be…
A: Given data as per question v=229m/s a=28.2m/s2 t=10s
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A: GivenPosition is given byx=(22t-1t3)m t is in second
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A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…
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A: v= velocity a= acceleration t= time v=0.86t2
Q: The acceleration of a particle is given by a = 4t - 31, where a is in meters per second squared and…
A: Given, Acceleration (a) = 4t - 31 At t = 0 s V0 = 5 m/s S0 = 0 m/s Since a = dv/dt dv/dt = 4t -…
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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: 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: The position of a particle moving along an x axis is given byx- 12 n - 2.00r, where x is in meters…
A: Here, we calculate the given as follow;
Q: The acceleration of a body moving along the X-axis is a = (4x - 2) , where x is in %3D meters. Given…
A: Given,acceleration, a =4x - 2 m/s2initial velocity,vo = 10 m/s at xo = 0.Find :velocity at x = 10 m.
Q: 1. The velocity of a particle as a function of time is given by v(t) =(181– 3r² )î – 8ĵ where the…
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Q: A particle moves along the curve y= x–(x2/400), where x and y are in ft. If the velocity component…
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A: According to guidelines we need to solve only first three sub-part kindly repost other parts in the…
Q: What is the y component of the car's acceleration (in m/s^2)?
A: Second kinematic equation in y-direction is given by, Y = v0yt + 12ayt2 ----(1)…
Q: The position of a particle moving along an x axis is given by x = 12.0t2 - 2.00t3, where x is in…
A: Given data: Position as function of time x = 12.0t2 - 2.00t3 x in meters and t in seconds Required:…
Q: CALC An object's velocity is measured to be U₁(1) = a - Br², where a = 4.00 m/s and ß = 2.00 m/s³.…
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Q: use variables only.) X=0 (b) With the positive x-direction chosen to be out the window, find the x-…
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Q: A particle's position along the x-axis is given by the equation; ?(?) =1?^4 − 2?^1 + 8 where ?x is…
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Q: The position of an object as it moves along the x axis is given by x= 10e ^-5t m where t is in s.…
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Q: An object is thrown in the air with vertical velocity of 20 ft/s and horizontal velocity of 15 ft/s.…
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Q: An object is moving along the x-axis. At t = 0 it is at x = 0. Its x-component of velocity vz as a…
A: Given At t =0, X =0 And v = a*t -B *t3 Where a = 6.8 m/s2 B = 4.0 m/s4 So for non zero t, X =0,…
Q: A particle moves along the x-axis according to the equation s = 2 + 3t – t2, where s is in meters…
A: Given data: Position of the particle as function of time s = 2 + 3t - t2 s in meters and t in…
Q: The velocity (imm/s) of a particle is given by vft) = 2t – 6 where t is the time in seconds. During…
A: Velocity=2t-6
Q: A particle is moving with a velocity of 60m/s in the positive x-direction at t = 0s. Between t = 0s…
A: Given data: Initial velocity (Vi) = 60 m/s Time (t) = 15 s Final velocity (Vf) = 0 m/s Required: The…
Q: - 5) Ajet plane is flying at constant altitude At time t,=0, it has components of velocity Vx=90 m/s…
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Q: t³ – 6t° – The motion of a particle is defined by the relation x = 36t – 40, where x and t are…
A: (a) The equation for a particle's motion is given by, x=t3-6t2-36t-40 -----1 Obtain equation for…
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- An object is moving in the negative y-direction at 20.0 m/s when it undergoes an acceleration a → = ( 1.00 m / s 2 ) i ^. What is the speed (magnitude of velocity) of the object 10.0 s later?Starting from rest, the acceleration of particle, which is confined to move along astraight line, is given by a = 56t 2 − 33t − 9, where x is in meters and t is inseconds. Determine (a) the time required for the particle to reach a velocity of61m/s from its initial condition at t=0, (b) the acceleration of the particle whenv=25m/s, and (c) the net displacement of the particle during the interval from t=1sto t=4s.And object has an initial velocity of 15 m/s in a constant acceleration of 4 m/s squared. How long will it take before it's final velocity is equal to three times its initial velocity?
- In the 1968 Olympics in Mexico City, Bob Beamon shattered the record forthe long jump with a jump of 8.90 m. His speed on takeoff was 9.5 m/s.How close did this athlete come to the maximum possible range in theabsence of air resistance?show that, the range, R the time of flight, T and the Maximumheight, H by a projectile are respectively given by; R = (v20/g)sin2ϴ , T =(2v0sinϴ)/g and H = (v20sin2ϴ)/2gA water balloon is thrown horizontally with aspeed of 8.31 m/s from the roof of a building ofheight H=23.0 m. How far does the balloon travelhorizontally before striking the ground? (Use thevertical formula Av=v0v+1 2aw/2 to solve for timeand plug your components into the equation forthe horizontal direction Ar-vxt)
- A player passes a basketball to another player who catches it atthe same level from which it was thrown. The initial speed of theball is 7.1 m>s, and it travels a distance of 4.6 m. What were (a) theinitial direction of the ball and (b) its time of flight?Suppose (unrealistically) the velocity of the skydiver is 80 m/s, for 0 ≤ t ≤20,and then it changes instantaneously to 6 m/s, for 20 ≤ t ≤ 40. Sketchthe velocity function and, without integrating, find the distance theskydiver falls in 40 sA body moving in space has its motion described by the equationsx = 12t + 15, Y = 6t²where the distances are in meters and the time is givenin seconds. Find the magnitude and direction of the velocity and the accelerationwhen t = 3 sec.
- A particle has an acceleration of +6.24 m>s2 for 0.450 s. At theend of this time the particle’s velocity is +9.31 m>s. What was theparticle’s initial velocity?A jeepney moving at aspeed of 78 km/h strikes awall; The front end of thejeep crumples and the driver comes to rest aftertraveling 0.90 meters. Findthe acceleration in km/s^2A car can be braked to a stop from the autobahn-likespeed of 200 km/h in 170 m. Assuming the acceleration is constant,find its magnitude in (a) SI units and (b) in terms of g. (c) How muchtime Tb is required for the braking? Your reaction time Tr is the timeyou require to perceive an emergency, move your foot to the brake,and begin the braking. If Tr = 400 ms, then (d) what is Tb in terms ofTr, and (e) is most of the full time required to stop spent in reactingor braking? Dark sunglasses delay the visual signals sent from theeyes to the visual cortex in the brain, increasing Tr. (f) In the extremecase in which Tr is increased by 100 ms, how much farther doesthe car travel during your reaction time?