(14 pts.) 3. A particle moves along a line so that its velocity at time t...
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] .
(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...
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
Previous Problem List Next (1 point) A particle that moves along a straight line has velocity (t) = te- meters per second after seconds. How many meters will it travel during the first seconds? Hint: When we put into seconds, the particle should have traveled a distance of meters
(1 point) A particle that moves along a straight line has velocity u(t) = te-21 meters per second after t seconds. Find the distance the particle travels during the first t seconds. meters Note: Your answer should be a function of t.
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...
A particle moves along a straight line and its position at time t is given by s(t)= 2t^3 - 21 t^2 + 60 t where s is measured in feet and t in seconds.a) Find the velocity (in ft/sec) of the particle at time t=0:The particle stops moving (i.e. is in a rest) twice, once when t=A and again when t=B where A < B.b) A isc) B isd)What is the position of the particle at time 14?e)Finally, what is...
Given A position of a particle which moves along a straight line is defined by the relation'小64-m» 40, where s is expressed in feet and t in seconds Find a) O b) Or derive the equation of the particle's acceleration as a c) The time at which the velocity will be zero. d) The position of the particle when the velocity is zero. e) The acceleration of the particle when the velocity is zero. t) The displacement of the particle...
A particle P moves along a straight line in such a way that at time t seconds its velocity v m s^-1 is given by v = 1/2 t^2 - 3t + 4 Find the times when P is at rest. the total distance travelled by P between t = 0 and t = 4.