Suppose that an object's position vector as a function of time is given by r(t) = 15 cos(10.5 t) i + 15 sin(10.5 t) j (m). Calculate the magnitude of the particle's acceleration, in m/s2. (Please answer to the fourth decimal place - i.e 14.3225)
Suppose that an object's position vector as a function of time is given by r(t) = 15 cos(10.5 t) i + 15 sin(10.5 t) j (m). Calculate the magnitude of the particle's acceleration, in m/s2. (Please answer to the fourth decimal place - i.e 14.3225)
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Question
Suppose that an object's position vector as a function of time is given by r(t) = 15 cos(10.5 t) i + 15 sin(10.5 t) j (m). Calculate the magnitude of the particle's acceleration, in m/s2.
(Please answer to the fourth decimal place - i.e 14.3225)
Expert Solution
Step 1
Given :
The function for the position of an object is,
Step 2
The velocity v with which the object is moving is determined by,
Differentiating ,
velocity
Step by step
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