Case Study Differential Equations 1 The Velocity X And Displacement X Of An Object Can Be Described By The Following 1 (33.68 KiB) Viewed 22 times
CASE STUDY: DIFFERENTIAL EQUATIONS (1) The velocity x and displacement x of an object can be described by the following equation. v = k√x a. Find the object's displacement x as a function of time t. b. Find the object's velocity v as a function of time t. c. Find the object's acceleration as a function of time t. (2) The net force an object experiences is describe as the following, where m is its mass, g is the gravitational acceleration, v is its velocity and A is the cross-sectional area of the object. F = mg - Av Assume the initial velocity of the object is vo. Find the object' s velocity as a function of time t.
(3) A particle with mass m is moving on a curved trajectory. At t=0, the velocity of the object is vo. The net force F it experiences is described as the following. B is a constant. ΣF = bv2 a. Find the particle's acceleration. b. Derive the block's speed as a function of t. c. Derive the distance s the block travelled as a function of t.
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