The instantaneous position of an object is specified by its position vector leading from a fixed origin to the location of the object, modeled as a particle. Suppose for a certain object the position vector is a function of time given by r = 4i + 3j- 2tk, where r is in meters and t is in seconds.
(a) Evaluate dr / dt.
(b) What physical quantity does dr/ dt represent about the object?
Derivative of a vector?
2016-10-02 1:51 am
回答 (1)
2016-10-02 4:09 am
✔ 最佳答案
(a) Given r = 4i + 3j - 2tkdr/dt = d(4i + 3j - 2tk)/dt = d(4i)/dt + d(3j)/dt - d(2tk/dt)
= -2k
(b) dr/dt represents the velocity of the object.
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