The equation of motion of the body is x = 2 + 3t. Determine the initial coordinate of the body and the speed of movement

| December 29, 2020 | education

The equation of motion of the body is x = 2 + 3t. Determine the initial coordinate of the body and the speed of movement, determine the coordinate of the body in 3 seconds.

Given:
x (t) = 2 + 3 * t – body motion equation;
t = 3 seconds – time span.
It is required to determine the initial coordinate of the body x0 (meter), the velocity of the body v (m / s) and the coordinate of the body x (meter) after a time interval t.
Let’s find the initial coordinate of the body (at t = 0):
x0 = 2 + 3 * 0 = 2 + 0 = 2 meters.
Let’s find the speed of the body by fulfilling the derivative of the first degree of the equation of motion:
v = x (t) ’= (2 + 3 * t)’ = 3 meters per second.
Let’s find the coordinate of the body after a time interval t:
x = 2 + 3 * t = 2 + 3 * 3 = 2 + 9 = 11 meters.
Answer: the initial coordinate of the body is 2 meters, the speed of the body is 3 meters per second, the coordinate of the body in 3 seconds will be 11 meters.



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