The equation of motion of a material point has the form x = A + Bt + Ct, where A = -2 m, B = -3 m / s, C = 0.5 m / s

| August 8, 2021 | education

The equation of motion of a material point has the form x = A + Bt + Ct, where A = -2 m, B = -3 m / s, C = 0.5 m / s. Determine the projection on the Ox axis of the speed of the body through the time interval delta t = 2c after the start of the time count

x (t) = A + B * t + C * t.

A = – 2 m.

B = – 3 m / s.

C = 0.5 m / s.

t = 2 s.

Vx -?

The dependence of the projection of the velocity on the coordinate axis Vx (t) is the derivative of the dependence of the coordinate on time х (t): Vx (t) = х (t) “.

Vx (t) = (A + B * t + C * t) “= B + C.

Vx (t) = – 3 m / s + 0.5 m / s = – 2.5 m / s.

Since the projection of the velocity on the coordinate axis does not change, this motion is uniform rectilinear.

The “-” sign indicates that the body is moving in the opposite direction of the OX coordinate axis.

Answer: the projection of the speed is Vx (t) = – 2.5 m / s.



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