Velocity functions A projectile is fired vertically upward into the air; its position (in feet) above the ground after t seconds is given by the function s ( t ). For the following functions, use limits to determine the instantaneous velocity of the projectile at t = a seconds for the given value of a. 14. s ( t ) = − 16 t 2 + 128 t + 192 ; a = 2
Velocity functions A projectile is fired vertically upward into the air; its position (in feet) above the ground after t seconds is given by the function s ( t ). For the following functions, use limits to determine the instantaneous velocity of the projectile at t = a seconds for the given value of a. 14. s ( t ) = − 16 t 2 + 128 t + 192 ; a = 2
Velocity functions A projectile is fired vertically upward into the air; its position (in feet) above the ground after t seconds is given by the function s(t). For the following functions, use limits to determine the instantaneous velocity of the projectile at t = a seconds for the given value of a.
Use undetermined coefficients to find the particular solution to
y"-2y-4y=3t+6
Yp(t) =
Car A starts from rest at t = 0 and travels along a straight road with a constant acceleration of 6 ft/s^2 until it reaches a speed of 60ft/s. Afterwards it maintains the speed. Also, when t = 0, car B located 6000 ft down the road is traveling towards A at a constant speed of 80 ft/s. Determine the distance traveled by Car A when they pass each other.Write the solution using pen and draw the graph if needed.
The velocity of a particle moves along the x-axis and is given by the equation ds/dt = 40 - 3t^2 m/s. Calculate the acceleration at time t=2 s and t=4 s. Calculate also the total displacement at the given interval. Assume at t=0 s=5m.Write the solution using pen and draw the graph if needed.
Chapter 3 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Calculus: Early Transcendentals (3rd Edition)
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