The speed of a particle moving along a circle of radiusr=4 m, is v(t) = 4t; where v is in m/s and t is in s. The magnitude of the total acceleration (in m/s-) of the particle at t= 1s is: %3D O a. 4.0 Ob.5.4 OG 8.9 Od.2.1

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: particle leaves the origin with an initial velocity v = (5.84i) m/s and a constant acceleration = (–…

A: If a quantity has maximum value ,it's first differentiation must be zero and second differentiation…

Q: A particle is moving in the i- j plane with an acceleration of (1 – t)į +tj where t is the time. The…

A: Given: a=1-ti+tj∫a·dt=vwhere, v is velocity…

Q: In a particular Cartesian coordinate system, the y and z-components of the acceleration are zero and…

A: given,ax(t)=-8+32tinitial velocity…

Q: particle initially is moving at a velocity with Cartesian components (5.0 m/s, 4.0 m/s) and 5.6 s…

A: Given u̅ =( 5î +4 ĵ )  v̅ = 8 î   t = 5.6 s

Q: A car moves along a horizonatal road with constant velocityv0 = v0, x^ii = (30.06 m/s)^i   until it…

A: The objective of the question is to find the average acceleration of the car during the given time…

Q: A high-tech drone flies over Miami, FL in a direction 59° west of north with a speed of 39 km/h.…

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Q: A car is traveling around a circular track of 720-ft radius. If the magnitude of its total…

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Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a man accidentally stubs…

A: Given that: Speed of the nerve impulse in human body: v= 100 m/s Height of the man, d=1.70 m…

Q: The velocity of a particle is given by v = {16t²i + 4t³j + (5t +2)k}m/s, where t is in seconds. If…

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Q: A car with an increasing speed rate of 0.600 m/s2 is traveling along a circular road. The radiusof…

A: Given data *The car with an increasing speed rate is a = 0.600 m/s2 *The car speed is v = 4 m/s *The…

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: The position vector 7 = (4.30t)î + (et + ft²) locates a particle as a function of time t. Vector is…

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

A: Given : x = 17.2t y = 4.16t - 4.90t2 t = 3.18 s

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

A: Given Maximum height H = 12 ft = 12 × 0.3     = 3.6 m

Q: Starting from rest, a car speeds up along a curve at a rate of 2.00 m/s ^ 2 . If the curve has a…

A: When a car goes around a curve, its acceleration is constantly changing ( in direction) which…

Q: A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 seconds for every…

A: Given: Radius of circular track, r = 100 m. Time taken, t = 62.8.

Q: A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km]…

A: The expression for find time taken by the runner to complete the race is t=dv

Q: An object is thrown from a level field with initial upward speed 17 m/s and forward speed 9.9 m/s.…

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Q: An ion's position vector is initially 7 = (-3,9 m )i + (-8.6 m )j + (-3.4 m )k, and 9.3 s later it…

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Q: A car at a traffic signal starts from rest and makes a left turn in a circular trajectory of radius…

A: GivenInitail velocity Of car (u)=0Radius of circular Trajectory (r)=6 mSpeed (v) of car in 2 s (t)=9…

Q: What is the magnitude of the horizontal displacement of a body moving at (5i + 3j) m/s after 5…

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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: A person walks in a following pattern: 3.1 km NORTH, then 2.4 km WEST and finally 5.2 km SOUTH. The…

A: Consider the vertical axis is directed along the north-south direction and the horizontal axis is…

Q: A point moves on a circular path with its position from rest defined by s = t^3 + 5t, where s and t…

A: S=t3+5tacceleration, a=8.39 ms2time, t=0.66 s

Q: A particle starts from the origin at t = 0 with a velocity of 7.8 and moves in the xy plane with a…

A: Solution:-Given thatInitial velocity (u→)=(7.8 j^) m/sacceleration (a→)=(4.4 i^+3 j^) m/s2x…

Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a man accidentally stubs…

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Q: From January 26, 1977, to September 18, 1983, George Meegan of Great Britain walked from Ushuaia, at…

A: Basic Details The average velocity is the ratio of total distance covered to that of the total time…

Q: A particle leaves the origin with an initial velocity = (2.54î) m/s and a constant acceleration à =…

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Q: The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a…

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Q: A car drives around a circular track of diameter 144 m at a constant speed of 49.4 m for a second.…

A: Total acceleration of the car during a circular motion is given as  a=ac2+at2…

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: The position vector of a particle is given as r = (t^2-6t+8)i + (t^2-9)j Find the magnitude…

A: Position vector is the vector form of displacement by the body when it is in motion. r→=ati^+btj^…

Q: 5. A particle moves counterclockwise on a circular path of 400 ft radius. It starts from a fixed…

A: The diagram below depicts the given situation.

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: A computer model displays the motion of a particle on a coordinate system in real time. At time t =…

A: Velocity components: In x-direction, v = 0 In y-direction, v = 6.8 m/s Acceleration components: In…

Q: eters per second). (a) For that 6.20 s, what is the proton's average acceleration a avg in unit…

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Q: An object moving at constant speed v around a circle of radius r has an acceleration a directed…

A: Given data:  Initial speed = v Radius = r New speed (v1) = 1.175 v Required: Percentage increase in…

Q: A man runs full speed towards 40m north. He turns around and runs back 5m south and stops under a…

A: Displacement is define as  the shortest length between initial and final position. Also displacement…

Projectile Motion