The equation of motion for a cyclist is x = 14-10t. Find the module for changing the position of the cyclist in 5 seconds.

To find the required modulus for changing the position of the cyclist in question, we apply the formula: x = x (t1) – x (t0).

Functions and variables: x (t) – the equation of motion of the cyclist (x (t) = 14 – 10t); t1 – time of position change (t1 = 5 s); t0 is the initial moment of time (t0 = 0 s).

Calculation: x = x (t1) – x (t0) = (14 – 10 * 5) – (14 – 10 * 0) = -50 m = | 50 | m.

Answer: The cyclist has moved 50 meters.