V (t) = 5 + 2 * t – the equation for the change in the speed of the body;
t = 10 seconds – time span.
It is required to determine S (meters) – the path that the body will cover in time t.
Let’s find the initial speed of the point:
V0 = 5 + 2 * 0 = 5 + 0 = 5 m / s.
Let’s find the acceleration of the point:
a = V (t) ‘= (5 + 2 * t)’ = 2 m / s ^ 2.
Then the path traversed by the point will be equal to:
S = V0 * t + a * t ^ 2/2 = 5 * 10 + 2 * 10 ^ 2/2 = 50 + 10 ^ 2 = 50 + 100 = 150 meters.
Answer: in 10 seconds the body will cover a distance of 10 meters.
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