The equation of motion of an athlete running along the OX axis has the form x = -100 + 5t. What will be the movement speed and the x coordinate in 1 minute after the start of observation?
Data: the athlete’s equation of motion: x (t) = -100 + 5t; t (the considered time of movement of the athlete) = 1 min = 60 s.
1) The speed of the athlete after 1 minute: V = x (t) = (-100 + 5t) ‘= 0 + 5 * 1 = 5 m / s (the speed of the athlete is constant).
2) The athlete’s coordinate after 1 minute: x (60) = -100 + 5t = -100 + 5 * 60 = 200 m.
Answer: After 1 minute the athlete will have a speed of 5 m / s, and his coordinate will be equal to 200 m.
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