The velocity of a particle moving along a straight line is given by v = 0.2s1/2 m/s where the position s is in meters. At t = 0 the particle has a velocity v0 = 3 m/s. Determine the time when the particle’s velocity reaches 15 m/s and the corresponding acceleration.
Ans: 600 s, a = 0.02 m/s2
The velocity of a particle moving along a straight line is given by v = 0.2s1/2...
A particle is moving along a straight path such that the acceleration a = (3v2-2) m/s2, where v is in m/s. If v = 15 m/s when s = 0 and t = 0, please determine the particle’s position, velocity, and acceleration as functions of time.
A particle is moving along a straight path such that the acceleration a = (3v-2) m/s2, where v is in m/s. If v = 15 m/s when s = 0 and t = 0, please determine the particle’s position, velocity, and acceleration as functions of time.
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
4. A particle is moving along a straight line such that its velocity is defined as v -5s2 m/s, where s is in meters. If s 2 m when t0, determine the particle's velocity and acceleration as functions of time.
1. A particle is moving along a straight path such that the acceleration a (3v2-2) m/s2, where v is in m/s. If v = 15 m/s when s-0 and 1-0, please determine the particle's position, velocity, and acceleration as functions of time
The acceleration of a particle as it moves along a straight line is given by a=(2t−1) m/s2, where t is in seconds. Suppose that s = 4 m and v = 8 m/s when t = 0. a)Determine the particle's velocity when t = 4 s . b)Determine the particle's position when t = 4 s c)Determine the total distance the particle travels during the 4-s time period.
The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a line. a(t) t 4 5, 0sts 10 v(0) (a) Find the velocity at time t. 2 4t5 2 v(t) m/s (b) Find the distance traveled during the given time interval. 416.6 Need Help? Talk to a Tutor Read It Watch It The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a line. a(t) t 4 5,...
The acceleration function (in m/s2) and the initial velocity v(o) are given for a particle moving along a line. a(t) = 2t + 2, VO) = -15, Osts 5 (a) Find the velocity at time t. v(t) = m/s (b) Find the distance traveled during the given time interval.
It will be (3v-2) 3/ 1. A particle is moving along a straight path such that the acceleration a is in m/s. If v- 15 m/s when s 0 and /-0, please determine the particle's position, velocity, and acceleration as functions of time. m/s, where v
11. Suppose the position function of a particle moving along a straight line is given s(t) = t3 - 3t2 + 8, where s is in meters and t is in seconds. Include units in your responses. (a) How far has the particle traveled in 1 second? (b) What is the velocity of the particle at 1 second? (c) What is the acceleration of the particle at 1 second? (d) is the particle speeding up or slowing down or neither...