Given s(t)= +2t, where s(t) is in feet and t is in seconds, find each of...
Given s(t) = 2+ + 4t, where s(t) is in feet and t is in seconds, find each of the following. a) v(t) b) aſt) c) The velocity and acceleration when t= 2 sec a) v(t) = b) a(t) = c) When t = 2 sec, the velocity is (Simplify your answer.) When t = 2 sec, the acceleration is (Simplify your answer.)
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...
Given s(t) = 1, where s is in miles and is in hours, find each of the following. a) v(t) b) aft) c) The velocity and acceleration when t he d) When the distance function is given by the linear function, there is uniform motion What does uniform motion mean in terms of velocity and acceleration? a) (t) = 1 b) alt=1 c) When t = 4 the velocity is miles per hour (Simplify your answer.) When t = 4,...
Given s(t)-5t +10t, find (c) the velocity and acceleration when t-2 (a) vt) (b) a(t) (c) When t- 2, the velocity isfeet per second ее (Simplify your answer.) When t-2, the acceleration is feet per second squared. (Simplify your answer) Given s(t)-5t +10t, find (c) the velocity and acceleration when t-2 (a) vt) (b) a(t) (c) When t- 2, the velocity isfeet per second ее (Simplify your answer.) When t-2, the acceleration is feet per second squared. (Simplify your answer)
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...
the acceleration of a particle as it moves along a straight line is given by a=(2t-1)m/s^2, where t is in seconds.if s=1m and v= 2m/s when t=0,determine the particles velocity and position when t=6s. Also, determine the total distance the particle travels during this time period.
The height h (in feet) of an object falling from a tall building is given by the function h(t) 400 16, where t is the time elapsed in seconds (a) After how many seconds does the object strike the ground? (b) What is the average velocity of the object from t- o until it hits the ground? (c) Find the instantaneous velocity of the object after I second ft/sec Find the instantaneous velocity of the object after 2 seconds. ft/sec...
6. 125POINTSIThe position of a particle is s(t)/2t where s is in meters and t is in seconds. Your answers should include units a. Find the average velocity first between -0 and -5, then between 18 and t-23. What is happening to the velocity over time (Looking at the graph of s(t) will help you understand why this is happening)? 6. 125POINTSIThe position of a particle is s(t)/2t where s is in meters and t is in seconds. Your answers...
C, D, F??????? A partidle moves according to a law of motion s-t), t0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) ft) - - 721t (a) Find the velocity at time t -32-14 +21 ft/s (b) What is the velocity after 1 second? 1)10 ft/s (c) When is the particle at rest? t 2.33333333 | X (d) when is the particle moving in the positive direction? (Enter your answer...
A motor gives a disk A an angular acceleration of aA (2t+ 3) rad/s , where t is in seconds. If the inidial angular velocity of the disk is Dg 5 rads, determine the magnitude of the velocity of biock B when t 2 s aisa v-1.5 m/s ve 15 m/s ve-7 m/s va-2.25 mls 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...