The particle shown in Figure , moves along x with a constant acceleration of -4m/s2 . As it passes the origin, moving in the +direction of x, its velocity is 20 m/s. In this problem, time t is measured from the moment the particle is first at the origin. (a) At what distance x’ and time t’ does v = 0 ? (b) At what time is the particle at x = +15 m, and what is its velocity at this point? (c) What is the velocity of the particle at x = +25 m? at x = -25 m?

Q: A spacecraft starts from rest, and makes a journey to a destination 436000 km from its starting…

A:

Q: You are on the roof of a Physics Building, 48 m above the ground. Your physics professor, who is…

A:

Q: A spacecraft starts from rest, and makes a journey to a destination 447000 km from its starting…

A:

Q: A bicycle, initially located xo = 2.3 m at time t=0 seconds, has a velocity at time t given by v =…

A: Write a given values of this question.

Q: The acceleration of a particle is defined by the relation a = − 0.8 v, where a is expressed in m/s2…

A: a=dvdt = -0.8v ln(v/u) = -0.8t v= ue-0.8t u=1m/s (given) v=e-0.8t v= dxdt =e-0.8t x= e-0.8t /(-0.8)…

Q: The velocity of a particle at any time t moving along an x-axis is given by the following equation:…

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

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: Answer the following

A: (a) The velocity of the particle is, v=dxdt                             ...... (1) The given…

Q: The sport with the fastest moving ball is jai alai, where measured speeds have reached 303 km/h. If…

A:

Q: The velocity of a particle which moves along the s-axis is given by v = 2 + 5t^(3/2) where t is in…

A: Givenv=2+5t32Time, t in secondVelocity, v in m/s

Q: at t=0, a particle leaves the origin with a velocity of 12m/s in the positive x-direction and moves…

A: Displacement in y -direction is,

Q: A particle moving along the x-axis has its position (meters) described by the function…

A: Solution:-

Q: The velocity of a particle at any time t moving along an x-axis is given by the following equation:…

A: We know, The first derivative of the position vector is velocity where as the second derivative of…

Q: Two trains travel in the opposite direction, leaving each of the opposite stations which call…

A: Let the two trains meet after time t. Thus, after time, t, the total distance travelled by the two…

Q: A particle's position along the x-axis is described by x(t)= At + Bt^2, where t is in seconds, x is…

A:

Q: A particle's position with respect to time as it moves along a coordinate axis is given by the…

A:

Q: At a time t seconds, after it is thrown up in the air, a tomato is at a height (in meters) of…

A: According to question we need to find that tomato How long is the tomato in the air?

Q: Most important in an investigation of an airplane crash by the U.S. National Transportation Safety…

A: Acceleration (a) = - 3450 g where "g" is the acceleration due to gravity Time (t) = 6.49 ms Final…

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…

A:

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: A particle's position is given by x = 6.00 - 15.00t + 3t², in which x is in meters and t is in…

A:

Q: According to the velocity time relation as shown in the following graph, what is the displacement of…

A:

Q: The velocity of a particle at any time t moving along an x-axis is given by the following equation:…

A: The first order derivative of the position is velocity whereas the second derivative of the position…

Q: An object moves along the x-axis with an acceleration function of: a(t) = tā + 2 At t seconds. If…

A: Given: The acceleration (a(t)) is given as t1/2 + 2. Introduction: The acceleration (a) of an object…

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

A:

Q: The velocity of a particle traveling in a straight line is given by v = (6t - 3t^2) m/s, where t is…

A: Given: The velocity of a particle traveling in a straight line is given by v = (6t - 3t^2) m/s.…

Q: Most important in an investigation of an airplane crash by the U.S. National Transportation Safety…

A: Given information: Here, a is the black box’s deceleration, t is the time interval and vf is the…

Q: The velocity of a particle at any time t moving along an x-axis is given by the following equation:…

A: We know, Velocity is the first time derivative of position and acceleration is the double derivative…

Q: If the following is a graph of the velocity, in the x direction, of an object as a function time,…

A: Given Data: The initial position is, x=12.7 m From the above figure, we can calculate the area or…

Q: A particle Pis moving on the x-axis with constant deceleration 2.5 ms?. At time t = 0, the particle…

A: Given Deceleration = 2.5 m/s2 At t = 0 s Particle at x = 0 u = 15 m/s along the positive x-axis We…

Q: A particle with instantaneous velocity V = (2i + 33 + æk) m/s and instantaneous acceleration d = 3ì…

A: Given data: Instantaneous velocity of the object is V→=2i^+3j^+xk^ m/sInstantaneous acceleration of…

Q: If an archer shoots an arrow straight upward with an initial velocity of 160ft/sec from a height of…

A: The height as a function of time is given, ht=-16t2+160t+8          (I) The derivative of height…

Q: A particle moves according to a law of motion  s = f(t), t ≥ 0,  where t is measured in seconds and…

A:

Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = t² – 3t – 18,…

A: Displacement = -90 m

Q: A particle moves along the x-axis with an acceleration of a = 12t, where a has units of m/s?. If the…

A: Given that, The acceleration of a particle, a = 12t, where a has unit of m/s2. At time t = 0, it is…

Q: The position of a particle moving along the x-axis varies with time according to x(t) = 5.0t2 −…

A:

Q: A particle moves along the x-axis so that it’s position at any time t≥0t≥0 is given by…

A:

Q: A particle moves along an x axis from point A to point B with average velocity v, = 4.00 m/s through…

A: Given Data:- V1 = 4 (m/s) X1 = 20m. X2 = 30m. We use formula of velocity ;  V = distance/time taken.…

Q: The position coordinate of a particle which is confined to move along a straight line is given by "x…

A:

Q: A particle is projected to the right from the position S = 0, when an initial velocity of 8 m/s. If…

A:

Q: Starting from the origin at time t=0, with initial velocity 5j ms-!, a particle moves in thex-y…

A: Given value--- initial velocity = 5 j . acceleration = 10 i + 4 j. at time t its coordinate are (…

Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A: Given acceleration a(t) = bt + c to find the velocity of given acceleration function at time t we…

Q: A particle is moving with a velocity of 60m/s in the positive x-direction at t = 0s. Between t = 0s…

A: Given data: Initial velocity (Vi) = 60 m/s Time (t) = 15 s Final velocity (Vf) = 0 m/s Required: The…

Q: A rocket starts from rest and moves upward from the surface of the earth. For the first 10.0 s of…

A: Given that: Verticle acceleration of the rocket, ay=2.8 m/s3 (for first 10 sec) where the +y…

Q: Starting from rest, the acceleration of particle, which is confined to move along a straight line,…

A:

Q: A particle moves along the x-axis so that its position at time 0 < t< 18 is given by x(t), whose…

A:

Q: The body, with an initial speed of 2 m/s, began to slide along an inclined plane. For l0s, it passes…

A:

Projectile Motion