To calculate the duration of the increase in the speed of the specified car, we will use the formula: t = (Vк – Vн) / а = (kVн – Vн) / а.
Variables: k – rate of change of speed (k = 1.3; speed increased by 30%); Vн – initial speed (Vн = 4 m / s); a – acceleration (a = 0.3 m / s2).
Let’s make a calculation: t = (kVn – Vn) / a = (1.3 * 4 – 4) / 0.3 = 4 s.
Answer: The speed of the specified vehicle will increase by 30% after 4 seconds.
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