Question

Велосипедист движется равноускоренно прямолинейно с начальной скоростью 12.5 км/ч с ускорением 0.4 м/с2. какого будет значение скорости через 40 с?

Answer 1

Vo=3,5 м/с a =0,4 м/с2 t=40с 1) a=V-Vo/t at=V-Vo V=at+Vo V=0,4*40+3,5=16+3,5=19,5м/с

Answer 2

Problem Analysis

We are given the following information: - The cyclist is moving with a constant acceleration in a straight line. - The initial velocity of the cyclist is 12.5 km/h. - The acceleration of the cyclist is 0.4 m/s^2. - We need to find the velocity of the cyclist after 40 seconds.

To solve this problem, we can use the equations of motion for uniformly accelerated linear motion.

Solution

We can use the equation of motion to find the final velocity of the cyclist after 40 seconds:

v = u + at

Where: - v is the final velocity - u is the initial velocity - a is the acceleration - t is the time

Substituting the given values into the equation, we have:

v = 12.5 km/h + (0.4 m/s^2)(40 s)

To perform the calculation, we need to convert the initial velocity from km/h to m/s:

12.5 km/h = (12.5 km/h)(1000 m/km)(1 h/3600 s) = 3.47222 m/s

Now we can substitute the values into the equation:

v = 3.47222 m/s + (0.4 m/s^2)(40 s)

Simplifying the equation, we have:

v = 3.47222 m/s + 16 m/s

Calculating the sum, we find:

v = 19.47222 m/s

Therefore, the velocity of the cyclist after 40 seconds is 19.47222 m/s.

Answer

The velocity of the cyclist after 40 seconds will be 19.47222 m/s.