Question

тело начинает двигаться прямолинейно и равномерно со скоростью 2 м/с. В момент времени 48 сек. Оно приобрело ускорение 0,8 м/с в квадрате и двигалось в течении 1 мин. Определить суммарное расстояние пройденое тело

Answer 1

Problem Analysis

We are given the following information: - The body starts moving in a straight line with a constant speed of 2 m/s. - After 48 seconds, it acquires an acceleration of 0.8 m/s^2 and continues to move for 1 minute.

We need to determine the total distance covered by the body.

Solution

To solve this problem, we'll break it down into two parts: 1. The distance covered during the initial motion with constant speed. 2. The distance covered during the motion with acceleration.

Let's calculate each part separately.

Part 1: Distance covered during initial motion with constant speed

The body moves with a constant speed of 2 m/s for 48 seconds. To find the distance covered, we can use the formula:

Distance = Speed × Time

Substituting the given values: Distance = 2 m/s × 48 s = 96 meters

Part 2: Distance covered during motion with acceleration

The body acquires an acceleration of 0.8 m/s^2 and continues to move for 1 minute. We need to find the distance covered during this time.

To find the distance covered during motion with acceleration, we can use the following formula:

Distance = Initial Velocity × Time + (1/2) × Acceleration × Time^2

Substituting the given values: Initial Velocity = 2 m/s Time = 1 minute = 60 seconds Acceleration = 0.8 m/s^2

Distance = 2 m/s × 60 s + (1/2) × 0.8 m/s^2 × (60 s)^2

Simplifying the equation: Distance = 120 m + 0.4 m/s^2 × 3600 s^2 Distance = 120 m + 1440 m Distance = 1560 meters

Total Distance Covered

To find the total distance covered, we add the distances calculated in Part 1 and Part 2:

Total Distance Covered = Distance in Part 1 + Distance in Part 2 Total Distance Covered = 96 meters + 1560 meters Total Distance Covered = 1656 meters

Therefore, the total distance covered by the body is 1656 meters.