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 velocity? Can you calculate its average speed from these data?

Q: The motion of a particle is given by the relation a = 6t, where tis in sec and a in m/s2. If s = 8m…

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Q: The position of a particle moving along the x axis is given by x = 6.0t² - 1.0t³, where x is in…

A: give position x =6t2-1t3. we know velocity V = dx/dt = d(6t2-1t3)/dt v= 12t-3t2 M/s where x is in…

Q: A bus covers a distance of 180 km b/w two cities in 5 hr. What is the average speed of the bus ?

A: Write the given values with the suitable variables. d=180 kmt=5 hr Here, d is the distance and t is…

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: The figure below is the position vs time graph for a moving object. What is the object's average…

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Q: n object undergoes acceleration 1.2i+2.4j m/s2 for 4.5 s at which time its velocity is 21i+11j m/s.…

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Q: The velocity of a particle moving along the x axis is defined by v = x^4 + 2x^3 – 3x^2 where v is in…

A: GivenVelocity of partic along x-axisv=x4+2x3-3x2

Q: A particle moving in 1D has time-dependent velocity which is given by the quadratic function v(t) =…

A: a. the acceleration of the particle is

Q: (a) You travel from position 129 mi Ñ to a position 59 Ñ mi Ê + 67 Ñ in 137 minutes. What is your…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: The position of a particle moving in one dimension along the x axis is given by x(t) =5.5 + 7.8t +…

A: x(t) = 5.5+7.8t+2.1t2velocity :V = dxdtV = 7.8 +2(2.1)tV(t) = 7.8+4.2t m/s

Q: The figure gives the acceleration a versus time t for a particle moving along an x axis. The a-axis…

A: Initial velocity of particle =V0=9m/sas=13m/s2at t =-2s

Q: A particle moves along the x axis. Its position is given by the equation x = 2.2 + 2.9t − 3.5t2…

A: Given that:x=2.2+2.9t-3.5t2

Q: A particle starts at the origin (x = 0) and moves in one dimension. The figure shows the velocity of…

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Q: Shown below is a graph of velocity versus time for a moving object. The object starts at position x…

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Q: A squirrel has a- and y- coordinates (1.0 m, 3.5 m) at time t₁ = 0 and coordinates (4.9 m, -0.50 m)…

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Q: How do you find the total distance and displacement as well as the average speed and velocity?

A: Given:- two graphs which are drawn between position - time and the second one is velocity -time…

Q: The graph shows the x velocity of an mouse in a straight tunnel versus time. The position of the…

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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 velocity of an object in one- dimensional motion is v(t) = (3.00 t + 5.00 t2) m/s, where t is…

A: Acceleration is nothing but the rate of change of velocity i.e change is velocity per time. So in…

Q: A particle moves along the x-axis according to the equation x = – 2t3. Calculate the average…

A: position of particle is given by : x = - 2t3we know that , velocity = dx/dt  = d(-2t3)/dt  = - 6t2

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: Approximately how far, in cm, does the blood move during one beat? Assume similar data for the…

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Q: The graph shows the x velocity of an mouse in a straight tunnel versus time. The position of the…

A: Given: The position of the mouse is x=15 cm at t=0.

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. What…

A: a. the average acceleration is

Q: A cyclist rides 8.0 km east for 35 minutes, then he turns and heads west for 10 minutes and 3.7 km.…

A: Given data, Initial displacement along east = 8 km, in 35 minutes Displacement along west = 3.7 km,…

Q: turns

A: When the speed of a body is calculated at a particular instant of time it is called instantaneous…

Q: A particle moves along a straight line and its velocity depends on time t as v = 4t – t2. Here v is…

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Q: A particle has a velocity of v= (3i+5j)m/s and a constant acceleration of a=(-1.5i-4.5j)m/s^2 What…

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Q: The acceleration of a crate sliding down a ramp is given by ax = (0.25t²) m/s² and ay = (1.5t³)…

A: In this problem, we will first calculate the velocity in x and y directions and then we will…

Q: An object travels 146 m due east when it turns around and returns to its starting position. The…

A: Displacement is defined as the difference b/w the final and initial position of the object.

Q: A particle's position along the x-axis is given by the equation; x(t) = 1t¹ + 1t² +8 where x is in…

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Q: The figure shows a graph of the position of a moving object as a function of time. What is the…

A: Given graph of position vs time: