Under constant acceleration the average velocity of a particle is half the sum of its initial and final velocities. Is this still true if the acceleration is not constant? Explain.

Q: Plus and minus signs are used in one-dimensional motion to indicate direction. What is the sign of…

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Q: Why is a time interval always positive? If the average acceleration of a car is zero in a given time…

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Q: Explain the difference between velocity in general, average velocity, and instantaneous velocity

A: Required : The difference between velocity, average velocity and instantaneous velocity.

Q: If a car has zero acceleration must it’s velocity also be zero? Explain

A: Acceleration is define as rate of change of velocity with respect to time.so if acceleration is zero…

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Q: 04/ 2. Suppose that motion studies of a runner show that the maximum speed he can maintain for a…

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Q: A particle moves in rectilinear motion with an acceleration of a = 2vi m/s², where v is in m/s. If s…

A: According to question we need to find--- determine the time for the particle to achieve a velocity…

Q: A train is traveling down a straight track at 35 m/s when the engineer applies the brakes, resulting…

A: Given data: The initial velocity of the train, u=35 m/s. The acceleration of the train, a=-1.0…

Q: A person walks first at a constant speed of 7 m/s along a straight line from point A to point B and…

A: Given: Constant speed of the person from point A to B = 7 m/s Speed of the person from point B to A…

Q: If an object travels at a constant velocity, what can we say about its acceleration? What is another…

A: If an object travels at a constant velocity, it has zero acceleration. Another Situation: A photon…

Q: An object moves in one dimensional motion with constant acceleration a = 7.4 m/s². At time t = 0 s,…

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Q: What is the initial velocity of an automobile acquiring a final velocity of 32 m/s with an…

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Q: The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s²,…

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Q: 9. The acceleration of an object is given by a(t) = e-. If the object has an initial velocity of 2…

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Q: Given that a particle with a constant acceleration of 9 m/s? for 6 seconds and a starting velocity…

A: Given that, Acceleration of the particle, a = 9 m/s2 Time, t = 6 s Initial velocity of the particle,…

Q: The position of a particle moving along the x axis is given by x=3t2-15t-10m, where t is in s,…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: What is the slope of the velocity-time graph if an object undergoes a constant acceleration of 1…

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Q: At a certain time, the velocity of a particle moving in a straight line is 3 cm\sec and its…

A: Given : Velocity (v) = 3 cm/s Acceleration (a) = 2 cm/s2

Q: 1. The following data gives the velocity of a particle for 20 seconds at an interval of 5 seconds.…

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Q: In one dimension, does a negative acceleration mean that a particle is necessarily slowing down?…

A: given:- object moves in 1d with negative acceleration .

Q: a researcher observes a vehicle with an initial velocity of 14 m/s. the vehicle accelerated…

A: Equation of motion is given by

Q: If the object is being accelerated, can its velocity be constant? Explain. Does a car have negative…

A: 1)Give statement " if the object is being accelerated , can its velocity be constant ?"

Q: A runner starts from rest and with an 11 acceleration of 2.0 m/s2 travels a distance of 12 meters.…

A: Given Initial velocity of runner is v0=0 Acceleration of runner is a=2.0 m/s2. Distance of runner is…

Q: A person walks first at a constant speed of 4.90 m/s along a straight line from point O to point O…

A: Given: A person walks first at a constant speed of 4.90 metre per second along a straight line from…

Q: The position of a particle moving along the x axis is given by x = 3t2 - 12t - 20m, where t is in s.…

A: Average acceleration is defined as the time rate of change of velocity,aavg.=∆v∆t Average velocity…

Q: When it is possible to say that the value of average velocity is approximately the same as the…

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Q: "The acceleration of a particle moving along a straight line is a= -0.2v2 m/s2, where v is in m/s.…

A: Given acceleration a = -0.2v2m/s2 Initial velocity v = 80m/s at time t=2 sec we have to determine…

Q: A record of travel along a straight path is as follows: 1. Start from rest with a constant…

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Q: Determine the magnitude of the average acceleration of the car (in m/s2).   (b) Assume that the car…

A: Given  Vi = initial speed=0 m/s=vi Final speed=45.5 m/s =vf Time required =t=8.50 sec Average…

Q: Suppose the velocity of a car at any time is given by the equation v=60m/s + (0.50m/s³)t² A.) Derive…

A: The rate of change of velocity is acceleration.

Q: For a motion with constant acceleration, the equation of average velocity is 2. It is not valid for…

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Q: the object has an initial velocity of 14 m/s and a constant acceleration of 3 m/s2. How long will it…

A: Given: The initial velocity is Vi = 14 m/s. The acceleration is a = 3 m/s2. The final velocity is Vf…

Q: A researcher observes a vehicle with an initial velocity of 14 m/s. The vehicle accelerates…

A: Given: Initial Velocity ( u ) = 14 m/s Acceleration ( a ) = 3 m/s2  Time ( t ) = 6 seconds To Find ;…

Q: A yeti with an initial velocity of 20 m s comes to a complete stop with a constant acceleration in 4…

A: Here we have to use equation of motion

Q: A racing enthusiast claims that his sports car will accelerate from rest to a speed of 45.5 m/s in…

A: In the question , given initial velocity , final velocity and time and we have to find -----  (a)…

Q: A particle is initially traveling east at 5 m/s , then it begins to have an acceleration of 10 m/s2…

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Q: Is it possible for an object to have zero velocity but still have an acceleration? If so, give an…

A: An object can have zero velocity even though it is accelerating , when considering the instantaneous…

Q: 4- (a) The velocity of a particle changes from vị = 2î + 5ĵ -3k m/s to V2 = 5î - 7ĵ+ 2k m/s in 2 s.…

A: (a) The given values with suitable variables are listed below. Here, v1 denotes the initial…

Q: A person walks at a constant speed of 4.0 m/s along a straight line from point a to point b and back…

A: Given data The speed of the person from point a to point b is: Sab = 4 m/s The speed of the person…

Q: A person walks first at a constant speed of 5.10 m/s along a straight line from point O to point ®…

A: Given data: The velocity from A to R is v1=5.10 m/s. The velocity from R to A is v2=2.8 m/s.

Q: a motorist travelling with a constant velocity of 30m/s passes school- crossing comer, where the…

A: The motorist travelling with a constant velocity of vm=30m/s passes the school-crossing comer. Just…