Given s(t)= +2t, where s(t) is in feet and t is in seconds, find each of the following. a) v(t) b) a(t) c) The velocity and acceleration when t=2 sec a) v(t)= b) a(t)=0 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...
the velocity of a particle is given by v=[16t^2i+4t^3j +(5t+2)k]m/s, where t is in seconds. If the particle is at the origin when t=0, determine the magnitude of the particle's acceleration when t=2s. What is the x,y,z coordinate position of the particle at this instant.
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)
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,...
The acceleration of a body is given by a (t) = 8 + 4t - 3t^2 , where a is in m / s^2 and (t) in seconds. TO t = 2.0 s, the initial velocity of the particle is 2.0 m / s. Find the velocity of the particle at t = 4.0 s
the angular position of a point on a rotating wheel is given by theta=2+4t^2+3t^3 rad/s? or rotates at 84 rad/s in idle mode. When shut off, its angular acceleration is -29 (a) What is the angular velocity after 1.0 s? (b) How long will it take for the motor to completely stop? (C) How many revolutions does the motor make before stopping after it 15 turned off? 5.) The angular position of a point on a rotating wheel is given...
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...
When an object is dropped straight down, the distance in feet) that it travels in t seconds is given by s(t) = - 1612. Find the velocity at each of the following times. a. After 2 seconds. b. After 6 seconds. c. After 10 seconds. d. Find the acceleration. a. The velocity after 2 seconds is ft/sec. Sketch the graph of the given function by determining the appropriate information and points from the first and second derivatives. y = x2...
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.