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The acceleration of a particle is given by a = 7t-14, where a is in meters...
A particle moves in a straight line and has acceleration given by a(t) = 7t – 3. Its initial velocity is v(0) = -5 cm/s, and its initial displacement is s(0) = 3 cm. Find its position function s(t).
1. A particle traveling along a straight line has an acceleration given by a -1.5t m/s', where t is in seconds. At t = 0, so 2 m, and Vo-5 m/s. Determine a. v and s as functions of t b, the displacement from t 1 s to t 5 s, c. the average velocity from t 1 s tot 5 s, and c. the distance the particle travels from t-1 s to t = 5 s
The velocity of a particle is given by v = 217 - 116t+ 33, where v is in meters per second and t is in seconds. Plot the velocity v and acceleration a versus time for the first 6.7 seconds of motion and evaluate the velocity when a is zero. Make the plots and then answe the questions. Questions: When t = 0.7 s, ya m/s2 When t = 3.4 5, y = Im/s, a - Im/s, a - m/s,...
The acceleration of a particle is given by a = 12(10 – s)-2 m/s2 where s is in meters as it moves along a straight line. If the particle’s initial velocity is v0 = 4 m/s and its initial position is s0 = 2 m, determine the velocity of the particle at s = 8 m. Ans: 5 m/s
Need both answered please! 1. A particle moves with acceleration function a(t) = 8t + 5. Its initial velocity is v(O) = -4 cm/s and its initial displacement is s(0) = 5. Find its position after t seconds. s 2. The equation of motion of a particle is S = t3 - 9t, where s in meters, and t is in seconds. Find a) The velocity and acceleration as a function oft b) The acceleration after 4 seconds.
1.) The position of a softball thrown vertically upward is given by y = 7t – 4.9t2where y is in meters and t is in seconds. Find a) the initial speed of the ball at t=0, b) the velocity at t=1.26 s, and c) the acceleration of the ball. 2.) Starting from rest, an automatic subway train is controlled by a computer that causes it’s motion to follow the equation x = At3 for the first five seconds where x...
1. The position of a particle is described as r=xi+yj, where i and j are the coordinate unit vectors in 2D Cartesian coordinates a?d x and y are the coordinates of a particle. The velocity can be calculated as v=dr/dt. Find an expression for v, by taking the derivative of r with respect to time. 2. a=2.00 t, where t is the time, in seconds, and a is the acceleration in meters per second squared. s=0 and v=0 at t=0....
A particle is travelling along a 1D axis (s-axis) and it's velocity is given as a function of time as, v(t) 3t2-5 in m/s. The initial position of the particle is so 10 m, at time t 0 seconds a) Derive expressions for acceleration, a(t), and position, s(t), using the integral/derivative relationships for acceleration, velocity, and position as functions of time. b) Using your formulas from part a, calculate the velocity, acceleration, and position of the particle for every 1...
The acceleration of a particle is given by a = A√t where A = 2.0 m / s ^ (5/2). At t = 0s, v = 7.5 m / s and x = 0m. a) What is the speed of the particle as a function of time? b) What is the displacement as a function of time?
The acceleration of a particle along an x axis is a = 5.0t, with t in seconds and a in meters per second squared. At t = 2.0 s, its velocity is +16 m/s. What is its velocity at t = 4.4 s?