With what initial speed did the body move if, 3 s after the start of observation, it acquired a speed of 8 ms?
With what initial speed did the body move if, 3 s after the start of observation, it acquired a speed of 8 ms? Is the motion to be considered uniformly accelerated with an acceleration of 2ms?
Given:
v = 8 meters per second – the speed that the body acquired after a time interval t;
t = 3 seconds – time interval;
a = 2 meters per second squared – body acceleration.
It is required to determine v0 (meter per second) – the initial velocity of the body.
Since, according to the condition of the problem, the motion of the body is uniformly accelerated (that is, with constant acceleration), in order to determine the initial velocity of the body, it is necessary to use the following formula:
v0 = v – a * t;
v0 = 8 – 2 * 3 = 8 – 6 = 2 meters per second.
Answer: the initial speed of the body was 2 meters per second.