The acceleration of a particle is given by a = 5t - 13, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is s0 = -3 m, and the initial velocity is v0 = 5 m/s. Once you have determined the functions of time, answer the questions. Questions: When t = 4.6 s,

Q: A particle moves along a straight line with a velocity in millimeters per second given by v = 410 -…

A:

Q: 1. The velocity of a car is given by v(f) = 60(1– (0.7)*), where v is measured in m/s and t is…

A:

Q: The acceleration of a particle is given by a = 2t -21, where a is in meters per second squared and…

A:

Q: The acceleration of a particle is given by a = 3t - 27, where a is in meters per second squared and…

A:

Q: The car is traveling along the road with a speed of v (2 s) m/s, where s is in meters. (Eigure 1) 50…

A: The given information in the problem is shown in the following attached image:

Q: Determine the position, velocity, acceleration, and the distance traveled at t=8s

A:

Q: A particle travels along a straight-line path. Its displacement increases linearly in the positive…

A:

Q: The displacement of a particle is given by s = 21 -30r + 100r – 50 where s is in feet and tis in…

A: The displacement is given as, s=2t3-30t2+100t-50 The displacement vs time can be plotted as shown…

Q: A particle moves along a straight line with a velocity in millimeters per second given by v = 413 -…

A:

Q: The acceleration of a particle is given by a = 3t-27, where a is in meters per second squared and t…

A:

Q: The acceleration of a particle is given by a = 5t - 19, where a is in meters per second squared and…

A:

Q: if a skateboarder lands on the ground after 3 seconds with a final velocity of -4.5 m/s, what is the…

A:

Q: The position of a particle is given by s = 0.37t- 0.58t² - 2.45t + 5.26, where s is in feet and the…

A:

Q: The acceleration of a particle is given by a = 2t - 27, where a is in meters per second squared and…

A:

Q: A particle starts from rest at x= -2.5 m and moves along the x-axis with the velocity history shown.…

A: Solution; at t=0 x= -2.5 m v=0 for t = 0 to t= 0.8 a=dvdt=3.8-00.8=4.75 m/s2v0.53=at=4.75×0.53=2.52…

Q: The velocity of a particle is v = {2i+ (6 – 2t)j} m/s, where t is in seconds. Part A If r = 0 when t…

A:

Q: The velocity of a car traveling along a straight line is given by v = (4 · ť² − 6 · t) -6-t) ft,…

A: The velocity of the car is At

Q: QUESTION 1 (m/s) Relationship between velocity and time of a particle moving along a straight line…

A:

Q: Each of four particles move along the x-axis. Their positions (in meters) as functions of time (in…

A: Introduction In this problem we will calculate the velocity and acceleration of the particle and we…

Q: Suppose a particle is moving along the x-axis so that its position at time t is given by the formula…

A: The velocity is nothing but the first time derivative of the distance covered by the particle. The…

Q: One of the more well-known tests is crash testing. The car is timed and recorded going in two…

A: v(t) is given. Values are found out at each time. a(t) = dv/dt  is used to get the acceleration.

Q: The velocity of a particle is given by v = 27t² - 80t - 253, where v is in feet per second and t is…

A: GivenV=27t2-80t-253t=4s

Q: The position of a particle traveling in a straight line is defined by the relationship x = t3 - 6t2…

A:

Q: is the time in seconds. For the time interval t=0 to t=10s. (a) plot the position, velocity, and…

A:

Q: The position of a particle is given by s = 0.39t3 - 0.61t2 - 2.32t + 5.24, where s is in feet and…

A: Calculated velocity and acceleration at t= 0.9 second and velocity and acceleration at t= 3.1…

Q: During a short interval of time, the speed v (in m/s) of a motorcycle is given by the following…

A: Given speed of the object is expressed as V = at2 + bt3  , in  m/s

Q: The acceleration of a particle is given by a = -ks?, where a is in meters per second squared, k is a…

A:

Q: A particle starts from rest at x = -2.0 m and moves along the x-axis with the velocity history…

A:

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

A:

Q: The position of a particle is given by s = 0.39t3 - 0.66t2 - 2.01t + 5.28, where s is in feet and…

A:

Q: The position of a particle is given by s=0.39-0.69t2-2.04t+4.42, where s is in feet and the time t…

A: The position of particle is

Q: A particle moving along the s-axis has a velocity given by v = 22.3 -3.7t² ft/sec, where t is in…

A:

Q: The position of a particle is given by s = 0.23t³ -0.77t² -2.50t + 5.65, where s is in feet and the…

A:

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

A:

Q: The cart shown has the following velocity as a function of time. a. What is the acceleration at 50…

A: From the given plot, v = 0 m/s at t = 0 s v = 8 m/s at t = 100 s v = 0 m/s at t = 200 s It is…

Q: The acceleration of a particle is given by a = 3t - 34, where a is in meters per second squared and…

A:

Q: A particle moves along a straight line with a velocity of +(6+2) ft/s, where t is in seconds. What i…

A: velocity (v) = +(6t2) ft/s1-D straight line motion is performed.

Q: The acceleration of a particle is given by a = 8t - 24, where a is in meters per second squared…

A:

Q: The acceleration of a particle is given by a = 4t - 12, where a is in meters per second squared and…

A:

Q: The acceleration of a particle is given by a = 6t - 34, where a is in meters per second squared and…

A: Given Data a=6t-34 m/s2

Q: Q.1 An object moves along the x-axis according to the equation x (t) =- 3t² +12t – 6, where t is in…

A: Given equation  x(t)=-3t2+12t-6 time interval, 0 to 3sec  Using the v=dx/dt a=dv/dt

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.