Question

Мотоциклист разгоняется с ускорением 1 м/с². За какое время он пройдет 832 м и какова будет его скорость в конце этого пути, если начальная скорость мотоциклиста равна 10 м/с?

Answer 1

Решение только окуратно запиши

Answer 2

Calculation of Time and Final Velocity

To calculate the time it takes for the motorcyclist to travel a distance of 832 m and determine their final velocity, we can use the equations of motion. Given that the motorcyclist has an initial velocity of 10 m/s and an acceleration of 1 m/s², we can use the following equations:

1. Distance traveled: The equation to calculate the distance traveled is given by:

s = ut + (1/2)at²

Where: - s is the distance traveled (832 m) - u is the initial velocity (10 m/s) - a is the acceleration (1 m/s²) - t is the time taken

Plugging in the values, we can solve for t.

2. Final velocity: The equation to calculate the final velocity is given by:

v = u + at

Where: - v is the final velocity - u is the initial velocity (10 m/s) - a is the acceleration (1 m/s²) - t is the time taken

Plugging in the values of u, a, and the calculated value of t, we can solve for v.

Let's calculate the time taken and the final velocity.

Using the equation for distance traveled:

832 = (10)t + (1/2)(1)(t²)

Simplifying the equation:

832 = 10t + (1/2)t²

Rearranging the equation:

(1/2)t² + 10t - 832 = 0

Solving this quadratic equation, we find two possible values for t. We will consider the positive value since time cannot be negative.

Using the quadratic formula:

t = (-b + √(b² - 4ac)) / (2a)

Plugging in the values:

t = (-10 + √(10² - 4(1/2)(-832))) / (2(1/2))

Simplifying:

t = (-10 + √(100 + 1664)) / 1

t = (-10 + √1764) / 1

t = (-10 + 42) / 1

t = 32 seconds

Therefore, the motorcyclist will take 32 seconds to travel a distance of 832 m.

Now, let's calculate the final velocity using the equation:

v = u + at

Plugging in the values:

v = 10 + (1)(32)

v = 10 + 32

v = 42 m/s

Therefore, the motorcyclist will have a final velocity of 42 m/s at the end of the 832 m journey.

Please note that the calculations provided are based on the given information and assumptions.