Introduction
Topic Page
IntroductionQuestions
- What is the derivative of the kinetic energy function?
- What is the derivative of kinetic energy with respect to velocity?
- What is the derivative of #tanh(x)#?
- What is the derivative of voltage with respect to time?
- If a ball is thrown vertically upward from the ground with an initial velocity of 56 feet per second, for how long will the ball be going upward?
- A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 26 ft/s. At what rate is his distance from second base decreasing when he is halfway to first base?
- How do you find the velocity and position vectors if you are given that the acceleration vector is #a(t)= (-4 cos (-2t))i + (-4sin (-2t))j + (-2t)k# and the initial velocity is #v(0)=i+k# and the initial position vector is #r(0)= i+j+k#?
- How high will a ball go if it is thrown vertically upward from a height of 6 feet with an initial velocity of 60 feet per second and the acceleration is -32 feet per second squred?
- How many seconds will the ball be going upward if a ball is thrown vertically upward from the ground with an initial velocity of 20 feet per second and #a(t)= -32# feet per second squared?
- How do you show that the linearization of #f(x) = (1+x)^k# at x=0 is #L(x) = 1+kx#?
- How do you find the linearization of #f(x)=x^(3/4)# at x=1?
- Question #e6569
- The velocity of a particule is v = 2t + cos (2t). When t = k the acceleration is 0. Show that k = pi/4?