At a certain time a particle had a velocity of 18 m/s in the positive x-direction, and 2.4 s later its velocity was 30 m/s in the opposite direction. What is the average acceleration of the particle during this 2.4 s interval.

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Q: A particle’s velocity along the x-axis is described by v(t) = A t + B t2, where t is in seconds, v…

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Q: (a) The velocity of a particle changes from v = 2î + 5ĵ -3k m/s to V2= 5î - 7j+ 2k m/s in 2 s. What…

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Q: a person walks at 4.5 meters per second from point a to b. Then walks back from point b to a at a…

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Q: In 3.2 s, a particle moving with constant acceleration along the x axis goes from x = 31 m to x = 51…

A: Initial position of particle is, x0=31 m Final position of particle is, x=51 m Time taken by…

Q: In 2.2 s, a particle moving with constant acceleration along the x axis goes from x = 19 m to x = 56…

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Q: A particle is moving along a straight line such that its acceleration is defined as a(v)= -6v m/s2,…

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Q: A particle moves in one dimension, and its position as a function of time is given by x = (2.2 m/s)t…

A: The objective of this question is to find the average velocity of a particle moving in one…

Q: constant acceleration as it slides down a frictionless incline. The block is released from rest at…

A: GivenThe block is released from restInitial velocity of block is zero, u=0At Distance, s=7 m , v=3.8…

Q: A particle moving along a straight line decelerates according to a = -kv, where k is a constant and…

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Q: (a) The velocity of a particle changes from vỊ = 28 + 5ŷ -3k m/s to v2 = 5î - 7j+ 2k m/s in 2 s.…

A: Initial velocity of the particle is Final velocity of the particle is The velocity changes from v1…

Q: An object's position in the x-direction as a function of time is given by the expression; x(t) =…

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Q: At a certain time a particle had a speed of 41 m/s in the positive x direction, and 6.5 s later its…

A: v1=41 m/st1=0 sv2=-80 m/st2=6.5 s average acceleration,a=v2-v1t2-t2

Q: A person walks first at a constant speed of 4.70 m/s along a straight line from point O to point B…

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Q: A particle moving along the x axis starts from rest at time t=0 with the acceleration a= 12t-6t²…

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Q: A car is moving towards the left, which is the negative X direction. It travels 49.2 m during a…

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Q: At a certain time a particle had a speed of 88 m/s in the positive x direction, and 5.4 s later its…

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Q: A car is traveling along a horizontal road with an initial velocity of 17.8 m/s in the positive…

A: The given values are,

Q: (a) The velocity of a particle changes from vı = 2î + 5f -3k m/s to v2 = 5î - 7j+ 2k m/s in 2 s.…

A: Given: Part a) Part b)

Q: At a certain time a particle had a speed of 18 m/s in the positive x direction, and 2.4 s later its…

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Q: An object moving along the x-axis initially has a velocity of 60 m/s, and is slowing down at the…

A: Given initial speed of object (u)=60 m/s Retardation acceleration (a)=-4 ms-2 Final speed (v)=0 m/s…

Q: The figure shows the velocity of an object as it travels along the x-axis. What is the closest value…

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Q: The position of a particle moving along the x-axis is given by x = (21+22t-6.0t^2)m, where t is in…

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Q: An object undergoes acceleration 2.3i +3.6j m/s² for 5.9 s at which time its velocity is 33i +15j…

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Q: The contraction of the left ventricle of the heart lasts for 250 ms and the blood speed after…

A: Given - The contraction time of the left ventricle of the heart ( ∆T )=250 ms=250×10-3 s The rate…

Q: A person walks first at a constant speed of 4.55 m/s along a straight line from point to point and…

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Q: (a) The velocity of a particle changes from v1 = 2i + 5j -3k m/s to v2 = 5i - 7j+ 2k m/s in 2 s.…

A: Initial velocity  v1 = 2i + 5j -3k m/s Final velocity v2 = 5i - 7j+ 2k m/s Time interval in which…

Q: An iceboat sails across the surface of a frozen lake with constant acceleration produced by the…

A: Given:  final velocity, v = 0  initial velocity, time, t  = 3 s

Q: A particle travels with velocity v = (8 m/s?) t - 7m/s. (a) Find the average acceleration for two…

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Q: A ball of moist clay falls 17.1 m to the ground. It is in contact with the ground for 16.0 ms before…

A: Write the given values with the suitable variables. h=17.1 mu=0 m/st=16 ms=0.016 s Here, h, u, and t…

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: A golf ball is dropped from rest from a height of 8.10 m. It hits the pavement, then bounces back…

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Q: A car starts from rest, then accelerates at a constant rate over a distance of 89 m. It then…

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Q: A particle at t₁ = -2.0 s is at x₁ = 4.3 cm and at t₂ = 4.5 s is at x₂ = 8.5 cm. What is its average…

A: We have to determine the average velocity from the given data. Given that, t1=-2.0 sx1=4.3 cmt2=4.5…

Q: An object slows down from a velocity in the positive direction of 60mi/h to 25mi/h over the course…

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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 –