3 a)The table below gives the velocity v of a moving particle at time t seconds....
The function s(t)=ť - 12t - 9 gives the distance from a starting point at time t of a particle moving along a line. Find the velocity and acceleration functions. Then find the velocity and acceleration at t= 0 and t=3. Assume that time is measured in seconds and distance is measured in centimeters. Velocity will be in centimeters per second (cm/sec) and acceleration in centimeters per second per second (cm/sec2). The velocity function is v(t) = (Simplify your answer.)
Solve for velocity at 6 seconds The figure below gives the acceleration a versus time t for a particle moving along an x axis. At t--2.0 s, the particle's velocity is-35 m/s, what is its velocity at t-6.0 s? -105 X m/s a (m/s2) t (s)
6. A particle is moving on the line with velocity v(t) = 4t2 - 7t - 2 m/sec where 0 st 5a. Assume that at t = 0, the particles position is 0. a. (2pts) When is the particle at rest? b. (3pts) When is the particle moving in the positive direction for t > 0? C. (4pts) Find the distance traveled between the interval 1 st 33.
The velocity ofa particle is defined by v (-2i+(3-20A, m/s where t is in seconds. If r 0 when t 0, determine the displacement of the particle during the time interval t As (-8/-4A, m As (-6i+-6A. m As (-10/-2A.m As-(-4, m 1 s and t 4 s. A motor gives a disk A an angular acceleration of aA (2t+3) rads, where t is in seconds. If the inidal angular velocity of the disk is Dg 5 rads, determine the...
find the velocity The figure below gives the acceleration a versus time t for a particle moving along an x axis. At t--2.0 s, the particle's velocity is-35 m/s, what is its velocity at t = 6.0 s? m/s a (m/s2) t (s)
The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after 3 sec. (Round your answers to three decimal places.) ft/sec ft/sec2 a(3) The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after...
Q1 a) Use the following data to find the velocity and acceleration at t=10 seconds: Time, t, s 0 2 4 6 8 10 12 14 16 Position, x, m 0 1.7 2.8 4.3 5.5 6.4 7.5 8.1 8.4 Show proper working with each and every step b) The velocity “v” of a particle at distance “s” from a point on its linear path is given in the following data s(m) 0 2.5 5.0 7.5 10.0 12.5 15.0 17.5...
Problem 16 •16 GO The velocity v of a particle moving in the xy plane is given by v = (6.0t - 4.014)i + 8.0j, with v in meters per second and t (>0) in seconds. (a) What is the acceleration when t = 3.0 s? (b) When (if ever) is the acceleration zero? (c) When (if ever) is the velocity zero? (d) When (if ever) does the speed equal 10 m/s? X = 60 - 8t - drei &...
2. (8 points) Suppose a particle is moving in a straight line with velocity v(t) = (x + 1)2 – 2 meters per second, with an initial position s(0) = 8 meters. Find the total distance traveled by the particle after 9 seconds. Round to the nearest hundredth.
Show all work for full credit. 1. A particle is moving so that its velocity (in feet/sec) is v(t) = ť? – 7t + 10, where t is time in seconds. a. Find the displacement (change in position) of the particle over the first 9 seconds. Give units. (2 points) b. Find the total distance traveled by the particle in the first 9 seconds. Give units. (2 points)