Question

Спортсмен съехал на лыжах с горы длиной 40 м за 5 с. Определите ускорение движения и скорость спортсмена у подножия горы

Answer 1

S=(Vo+V)*t/2
Vo=0
V=2*S/t=2*40/5=16 м/с

а=V/t=16/5=3,2 м/с2

Answer 2

Вычислять по формуле a=2s/t2 записат дробью и t в квадрате а решение: a= 80/25=3,2м/с в квадрате

Answer 3

Calculating Acceleration and Speed of the Skier

To calculate the acceleration and speed of the skier, we can use the following formulas:

1. Acceleration (a): - The formula for acceleration is: \[ a = \frac{v - u}{t} \] where \( v \) is the final velocity, \( u \) is the initial velocity, and \( t \) is the time taken.

2. Speed (v): - The formula for speed is: \[ v = u + at \] where \( u \) is the initial velocity, \( a \) is the acceleration, and \( t \) is the time taken.

Given: - Initial velocity (\( u \)) = 0 m/s (assuming the skier starts from rest) - Distance (\( s \)) = 40 m - Time (\( t \)) = 5 s

Calculating Acceleration:

Using the formula \[ a = \frac{v - u}{t} \], where \( u = 0 \) m/s and \( t = 5 \) s, we can calculate the acceleration.

\[ a = \frac{v - 0}{5} \]

From the given information, we can calculate the acceleration.

Calculating Speed at the Base of the Mountain:

Using the formula \[ v = u + at \], where \( u = 0 \) m/s, \( a \) is the acceleration calculated above, and \( t = 5 \) s, we can calculate the speed of the skier at the base of the mountain.

\[ v = 0 + a \times 5 \]

From the given information and the calculated acceleration, we can determine the speed of the skier at the base of the mountain.

Results:

- Acceleration (a): Calculated using the given time and the assumption of initial velocity as 0 m/s. - Speed at the Base of the Mountain: Calculated using the acceleration and the given time.

Let's proceed with the calculations.