The position (in meters) at timet (in seconds) of a particle that moves along a straight line is given by the function s(t). The first derivative of s(t) is called the velocity, denoted by v(t); thatis, the velocity is the rate of change of the position. The rate of change of the velocity is called acceleration, denoted by a(t); that is,dv(t) = a(t). Given that v(t) = s'(t), it follows thatz s(t) = a(t).dt4mv(4) =V21ma(4) =21Find the velocity and the acceleration at time t = 4 s for the position function s(t) =t" - 2t.v(4) = 254a(4) =

Name: The position (in meters) at timet (in seconds) of a particle that mov
Uploaded: 2024-03-20T06:46:42.000Z
Channel: Bartleby
Description: The position (in meters) at timet (in seconds) of a particle that moves along a straight line is given by the function s(t). The first derivative of s(t) is called the velocity, denoted by v(t); thatis, the velocity is the rate of change of the posi