The Position Of An Object Is Given By X = At3 - Bt2 + Ct, Where A = 4.1 M/S^3, B = 2.2 M/S^2, C = 1.7m/S And X And T Are In Si Units. What Is The Inst
The position of an object is given by x = at3 - bt2 + ct, where a = 4.1 m/s^3, b = 2.2 m/s^2, c = 1.7m/s and x and t are in SI units. What is the instantaneous acceleration of the object when t=0.7s?
The instantaneous acceleration of the object : 12.82 m/s²
Further explanation
The velocity of an object at a given t is called Instantaneous velocity (the derivate of the displacement function)
Can be formulated:
v(t) = dx(t)/dt
Whereas the objects acceleration at a certain t is called Instantaneous acceleration (the derivate of the velocity function/the second derivate of the displacement function)
Can be formulated:
a(t)=dv(t)/dt
An equation of motion:
x = at³-bt²+ct
the first derivate :
v = 3at²-2bt+c
the second derivate
a = 6at-2
Input the value :
Learn more
uniformly accelerated motion
the probe's velocity relative to the earth
Uniformly accelerated motion: the vertical dimension
#LetsStudy
Comments
Post a Comment