Question

Який шлях пропливе моторний човен, якщо він рухается 5с зі сталою швидкістю 1м/с, а потім 5с зі сталим прискоренням 1м/с^2 ? Пожалуйста помогите решить

Answer 1

Відповідь:

22,5 м

Пояснення:

S = V*t

За 5с руху зі сталою швидкістю:

S = 1 * 5 = 5 (м)

За наступні 5с з прискоренням;

S = V*t + a*t^2 / 2

S = 1*5 + 1*5*5/2 = 5 + 25/2 = 5 + 12,5 = 17,5 (м)

Весь шлях:

5 + 17,5 = 22,5 (м)

Answer 2

Calculation of the Distance Traveled by a Motorboat

To calculate the distance traveled by a motorboat, we need to consider the initial velocity, the constant velocity, and the constant acceleration. Let's break down the problem step by step.

1. Initial Velocity: - The motorboat starts with an initial velocity of 0 m/s because it is at rest.

2. Constant Velocity: - The motorboat moves with a constant velocity of 1 m/s for 5 seconds. - The formula to calculate the distance traveled during constant velocity is: Distance = Velocity × Time - Plugging in the values, we get: Distance = 1 m/s × 5 s = 5 meters

3. Constant Acceleration: - After 5 seconds, the motorboat experiences a constant acceleration of 1 m/s^2 for another 5 seconds. - The formula to calculate the distance traveled during constant acceleration is: Distance = Initial Velocity × Time + (1/2) × Acceleration × Time^2 - Plugging in the values, we get: Distance = 1 m/s × 5 s + (1/2) × 1 m/s^2 × (5 s)^2 = 5 meters + 12.5 meters = 17.5 meters

4. Total Distance Traveled: - To find the total distance traveled by the motorboat, we add the distances traveled during constant velocity and constant acceleration. - Total Distance = Distance during Constant Velocity + Distance during Constant Acceleration - Total Distance = 5 meters + 17.5 meters = 22.5 meters

Therefore, the motorboat will travel a distance of 22.5 meters.

Please note that this calculation assumes linear motion and constant acceleration.