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.

Q: The acceleration of a particle is defined by the relation a= -kvv, where k is a constant. Since it…

A: When a object is in motion the speed of that object can calculate with relation to time. Hence the…

Q: The velocity of a particle travelling along the a straight line is v= (3t²-6t)m/ s, where t is in…

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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: If the car’s speed decreases at a constant rate from 70 mi/hmi/h to 40 mi/hmi/h in 3.0 ss, what is…

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Q: car is traveling along a straight road at a velocity of +27.4 m/s when its engine cuts out. For the…

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Q: A skier left a mountain 40 m long in 10 s, after which he rode along a horizontal platform to a stop…

A: The acceleration of skier is 0.8 m when it just left the mountain. The velocity when skier reach at…

Q: A stone is dropped from rest from the top of a high rise. It takes t=3.4s for it to reach the…

A: The displacement is Y Acceleration is a Time period T Initial velocity Vi The expression of…

Q: An astronaut has left the International Space Station to test a new space scooter. Her partner…

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

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Q: A car is traveling along a straight road at a velocity of +38.8 m/s when its engine cuts out. For…

A: Consider the average acceleration of the car in the first period be a1, and its average acceleration…

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: 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: The position versus time for a certain particle moving along the x axis is shown in the figure…

A: Solution: Formula: Average Velocity = Displacement/Change in time a) 0 to 2 s change in time = 2 - 0…

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: 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: How wide is a single slit that produces its first minimum for 633 nm light an angle of 28.0 degrees?…

A: Step 1: Given that  λ=633nm λ=0.633∗10−6m angle(θ)=28∘ dSin(θ)=mλ Where,  d is the slit width m is…

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…

A: At t1 = 1.0s, the position x1 is,

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: 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: A runner with a good awareness of her pace runs along a path of unknown length at a speed of 0.275…

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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…

A: Given value--- first covered distance = 89 m. second cover distance ÷ 152 m. total taken time =…

Q: A football running back rushes 13 m straight down the playing field in 2.1 s (in the positive…

A: Given   Duration Displacement Interval 1 2.1 s +13 m Interval 2 1.95 s -3.5 m Interval 3…

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

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Q: A particle moves in one dimension, and its position as a function of time is given by x = (2.1…

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Q: The position of a particle moving in the xy –plane is given by ř(t) = (3t² – t³)î + (t*)ĵ + (– 6t)k.…

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Q: The velocity of a particle traveling in a straight line is given by v = (6t – 3t²) m/s, where t is…

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Q: A particle moves in one dimension, and its position as a function of time is given by  x = (2.1…

A: (a) Average velocity is,

Q: A particle's acceleration is (4.0î + 3.0ĵ) m/s². At t = 0, its position and velocity are zero. (a)…

A: To Find: the particle position and velocity vector as a function of time.

Q: In heavy rush-hour traffic, you drive in a straight line at 12 m/s for 1.5 minutes, then you have to…

A: First caseVelocity v1= 12 m/sTime t1=1.5 minute Second case In stop condition v2=0 m/sTime t2=3.5…

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 –