The body’s motion is given by the equation x = 1 + 3t + 2t2 (m). What will its speed be in a time interval of 5 s after the start of the countdown?
x = 1 + 3t + 2t2
General formula: x = x0 + V0t + at ^ 2 \ 2
From it we conclude that x0 = 1, V0 = 3, a = 4 m / s.
Velocity equation in kinematics: V = V0 + at,
substitute the values:
V = 3 + 4 * 5 = 23 m / s
The answer is 23 m / s.
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