The coordinates of an object as a function of time are given by X= -0.31 t2 + 7.2 t + 28, and Y= 0.22 t2-9.1 t + 30 Find the position vector, velocity, and acceleration at t=15 seconds

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

A: Coordinates of space shuttle are given: x - coordinate (x) = 7t3…

Q: The figure shows the path taken by a drunk skunk over level ground, from initial point i to final…

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Q: Mayan kings and many school sports teams are named for the puma, cougar, or mountain lion Felis…

A: H = 11.1 ft  = 3.38 m Angle of projection = 47.8 oUsing, equation of motion in Y direction Vy2 -…

Q: A stunt plane flying at the Reno Air Races is moving through the sky. The rectangular coordinates…

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Q: A rabbit runs across a parking lot. The coordinates of the rabbit's position (in meter) are given by…

A: Consider the x-coordinate of the rabbit’s position. On differentiating the above equation with…

Q: While vacationing in the prairie you go on a nature walk. First you walk 260 m south, then a coyote…

A: d1→ = 260 m due south d2→ = 180 m due south west d3→ = 140 m @30o east of north

Q: I have no idea to how to start to this question: Wags (a dog) decides to go on a journey. He begins…

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Q: A particle is moving in three dimensions and its position vector is given by; r(t) = (4t² + 1.7t) î…

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Q: The position vector 7 = (3.50t)î + (et + ft²) locates a particle as a function of time t. Vector is…

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Q: The position of a particle is given by:r(t) = A cos(wt)^i + Asin(wt)^j + ct ^k where A is a constant…

A: The objective of the question is to find the acceleration vector of a particle given its position…

Q: The coordinates of a particle moving along a curve are x(t) = -2t2 +15 and y(t) = t2 -10t + 15, m…

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Q: Let V1 = -6.4 i^ + 8.1 j^ and V2 = -4.5 j^ + 4.4 i^. Determine the direction of V2. Express your…

A: Let v1 and v2 be the given vectorsWrite the given values of question.

Q: While vacationing in the prairie you go on a nature walk. First you walk 160 m south, then a coyote…

A: Given Data: First leg of displacement (A→) = 160 m, south.Second leg of displacement (B→) = 260 m,…

Q: A particle moves along two dimensions based on the following position vector r= [2.0 m + (3.00 m/s)f…

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Q: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…

A: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…

Q: 35. A person going for a walk follows the path shown in T Figure P3.35. The total trip consists of…

A: There are four displacement vectors. S1 = 100 i m S2 = - 270 j m S3 = -150 cos30 i - 150 sin30 j m…

Q: 30. In an assembly operation illustrated in Figure P3.30, a robot moves an object first straight…

A: The one-quarter of a circle lies on the east-west vertical plane of radius is given as, r1 = 4.80…

Q: Ajetliner, traveling northward, is landing with a speed of 68.2 m/s. Once the jet touches down, it…

A: Given data:  Initial velocity (u) = 68.2 m/s Displacement (d) = 750 m Final velocity (v) = 7.16 m/s…

Q: At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of Vo =i+…

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Q: The coordinates of a bee flying in the xy-plane are given by x(t) = At and y(t) = C-Bt², where 1 =…

A: Given: The coordinate of the bee in the xy plane is.  xt=At…

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

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Q: The position vector of a particle in 2D is given by r(t) = (bwt + b sin(wt)) â + (b + bcos (wt)) ŷ,…

A: Given:position vector is r→(t) =  (bωt + bsinωt)x^ + (b+bcosωt)y^b and ω are constantsAsked:to find…

Q: A person going for a walk follows the path shown in the figure, where y, = 270 m and e = 56.0°. The…

A: The following data are given: The displacement vectors are: d1→=100m i^ d2→=-270m j^ d3→=-150cos30°m…

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

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Q: 34.0°, and the distances are di ment from i to f? Give the angl d from the +x direction.

A: Given as, d1 = 4.80 m d2 = 7.30 m d3 = 10.0 m

Q: a cave, a spelunker starts at the entrance and moves the following distances in a hori- zontal…

A: We know that here we have given that a spelunker starts at the entrance and moves a distances in a…

Q: A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time…

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Q: a submarine travels at a constant velocity of 180.0 m/s for 92.0 minutes at 90.0 degrees. then the…

A: Given value--- submarine travels at a constant velocity of 180.0 m/s for 92.0 minutes at 90.0…

Q: The equation r(t) = ( sin t) i + ( cost)j + (t) k is the position of a particle in space at time t.…

A: The velocity of a particle is the rate of change of displacement with respect to time. That is,…

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: Find the velocity and position vectors of a particle that has the given acceleration and the given…

A: GIVEN        acceleration of particle   a(t) = et i⏜+ sin2t j⏜ + cos3 k⏜,         initial velocity,…