Question

Наблюдатель видит прямолинейное движение материальной точки,начальная координата =1 км,начальная скорость=36км,тело двигается с одинаковым ускорением 2 м/с²(равноускоренно),определите конечную координату, если время в пути 10 сек?

Answer 1

X=1000+10*t+t^2
x=1000=10*10+100=1200 м=1,2 км

Answer 2

Calculation of Final Coordinate

To determine the final coordinate of the object, we can use the equations of motion for uniformly accelerated linear motion. The equation that relates the final position (x), initial position (x0), initial velocity (v0), acceleration (a), and time (t) is:

x = x0 + v0t + (1/2)at^2

Given the following values: - Initial coordinate (x0) = 1 km = 1000 m - Initial velocity (v0) = 36 km/h = 36,000 m/3600 s = 10 m/s - Acceleration (a) = 2 m/s² - Time (t) = 10 s

Substituting these values into the equation, we can calculate the final coordinate (x):

x = 1000 + 10(10) + (1/2)(2)(10^2)

Simplifying the equation:

x = 1000 + 100 + 100

x = 1200 m

Therefore, the final coordinate of the object after 10 seconds of travel is 1200 meters.