Question

5. Тіло рухається з прискоренням -2 м/с², причому початкова швидкість становить 18 км/год. Записати рівняння залежності швидкості від часу, переміщення від часу. Побудувати графіки залежності прискорення від часу, швидкості від часу. А також знайти переміщення тіла через 5 секунд від початку руху. ​

Answer 1

Ответ:

Объяснение:.....

Answer 2

Equation of Motion and Graphs

To solve this problem, we need to use the equations of motion. The equation of motion for velocity is given by:

v = u + at

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

In this case, the initial velocity (u) is 18 km/h, which needs to be converted to m/s. The acceleration (a) is -2 m/s².

Converting the initial velocity to m/s: - 1 km/h = 1000 m/3600 s = 5/18 m/s - Therefore, the initial velocity (u) is (18 km/h) * (5/18 m/s) = 5 m/s.

Substituting the values into the equation, we get: v = 5 - 2t [[1]]

The equation of motion for displacement is given by:

s = ut + (1/2)at²

where: - s is the displacement - u is the initial velocity - a is the acceleration - t is the time

Substituting the values into the equation, we get: s = 5t - t² [[2]]

Graphs of Acceleration and Velocity

To graph the acceleration as a function of time, we can use the equation a = -2 m/s². Since the acceleration is constant, the graph will be a horizontal line at -2 m/s².

To graph the velocity as a function of time, we can use the equation v = 5 - 2t. This is a linear equation with a negative slope of -2. The initial velocity is 5 m/s, and the velocity decreases by 2 m/s for every second.

Displacement after 5 seconds

To find the displacement after 5 seconds, we can substitute the value of t = 5 into the equation s = 5t - t²:

s = 5(5) - (5)² = 25 - 25 = 0 meters

Therefore, the displacement of the object after 5 seconds is 0 meters.

I hope this helps! Let me know if you have any further questions.