10. The velocity function of a particle is given by v(t) = 2t - 4 on...
5. The velocity function (in meters per second) is given for a particle moving along a line. Find the displacement and the total distance traveled by the particle during the given time interval. v(1)=1-21-8, OSI56
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.
A particle moves in a straight line with the given velocity u(t) = 6 cos (t) (in m/s). Find the displacement and distance traveled over the time interval [0,71). (Give your answers as whole or exact numbers.) displacement: total distance traveled:
Problem #1 (35 Points) Given The velocity of a particle as it moves along a straight line is given by v (-12+36t-6t2) ft/s, where t is in seconds. At the initial condition ( 0), so 2 ft. Find a) The acceleration of the particle as a function of time. b) The acceleration of the particle when -6 seconds. c) The position of the particle as a function of time. d) The position of the particle when -6 seconds. e) The...
(10 pts) Suppose an object moves along a line with velocity v(t) = 3+- 18t +24, for 0 st < 5, where t is measured in seconds and velocity have unit of ft/s. (a) Determine when the motion is in the positive direction and when it is in the negative direction. (b) Find the displacement of the object on the interval 0 st 35. (c) Write down an expression for the distance traveled by the object over the interval 0...
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,...
A particle moves along a line with a velocity v(t)=4t−6, measured in meters per second. Find the total distance the particle travels over the time interval [0,3] .
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)
A particle moves with position given by s(t) = t 1 with t > 0. + where s is in meters and t is in seconds (a) Find the velocity function u(t). (b) Find v(2). Include units in your answer. (c) Find the acceleration function a(t). (d) When is the particle at rest? (You only need to consider t 0.) (e) Find the total distance traveled by the particle on 0 STS 3.
(14 pts.) 3. A particle moves along a line so that its velocity at time t is v(t) = + - + - 6 (measured in meters per second). a) Find the displacement of the particle during the time period 1 st 54. b) Find the distance traveled during this time period.