Instantaneous Velocity - Page 4

Questions
  • What is the instantaneous velocity of an object moving in accordance to # f(t)= (t^2,e^t-t^2) # at # t=3 #?
  • For an object whose velocity in ft/sec is given by v(t) = −t2 + 4, what is its displacement, in feet, on the interval t = 0 to t = 3 secs?
  • What is the instantaneous velocity of an object moving in accordance to # f(t)= (sqrt(t+2),t+4) # at # t=1 #?
  • What is the instantaneous velocity of an object moving in accordance to # f(t)= (e^(t-t^2),2t-te^t) # at # t=-1 #?
  • What is the instantaneous velocity of an object moving in accordance to # f(t)= (2t-1,e^t-7)# at # t=1 #?
  • What is the instantaneous velocity of an object moving in accordance to # f(t)= (t/(e^t+2t),t) # at # t=4 #?
  • How is instantaneous velocity related to tangent lines?
  • What is the instantaneous velocity of a thrown object at maximum height?
  • What is the value of #|m|# in #root(3)(m+9)=3+root(3)(m-9)# ?
  • The acceleration function (in m/s^2) and the initial velocity are given for a particle moving along a line. Find the the distance traveled during the given time interval? a(t) = t + 4, v(0) = 5, 0 less than or equal to t less than or equal to 10
  • How fast is the boat approaching the dock when...? (See entire problem below)
  • Position of a vehicle is given by #P(t)=300t^2+40t#, where #t# is in hours and #P# is in miles.When will the vehicle reach the speed limit of #70mph#?
  • How do you find the derivative of #1-v^2/c^2#?
  • An object's velocity is given by v(t)=0.12t^2 + 8t m/sec. At t=10, the object's position is x=500m. What is the equation for x(t)?
  • A projectile is fired vertically upward and is s feet above the ground t seconds after being fired, where s=256t — 16t^2. Find (a) the speed of the projectile 4 seconds after being fired, Complete question is in the image ?
  • A particle moves in a straight line so that t seconds after passing through a fixed point O its velocity V m/s is given by the equation V=20t-2t^2 m/s.find the initial acceleration of the particle, the value of t when the particle is at rest?
  • A particle moves in a straight line and its distance S(m) from a point is given by S=45t+11t-t^3. Find. expression of velocity in terms of t,the expression for acceleration in terms of t and the velocity and acceleration when t= 3 seconds?
  • How to find the time it takes for the water to flow at a certain velocity?
  • A particle is released from rest at point O at time t= 0 and it falls vertically that its acceleration at is given g-kv,where k is positive constant, g is gravity,v is instantaneous velocity at time t.Express v in terms of g,k and t?
  • Help with [part c and d please?