Question

Тело, двигаясь равноускоренно из состояния покоя, за третью секунду после начала движения прошло 5м. Найдите ускорения движения и скорость тела в конце третьей секунды

Answer 1

Дано: t = 3 с, v0 = 0 м\с, s = 5м. Найти: v - ?a - ?Решение:
x = x0 + v0*t + (a*t^2)/2
x = (a*t^2)/2
a = 2x/t^2
a = 10/9 (m/s^2)
v= v0 + at
v = at
v = 10/9 * 3 = 10/3 (m/s)

Answer 2

Calculating Acceleration and Velocity of a Moving Body

To find the acceleration and velocity of a body moving with uniform acceleration from rest, we can use the equations of motion. Given that the body has moved 5m in the third second, we can calculate the acceleration and velocity at the end of the third second.

Calculating Acceleration

The formula for displacement (S) in terms of initial velocity (V0), time (t), and acceleration (a) is given by: S = V0*t + (a/2)*t^2

Using the given information, we can calculate the acceleration (a) as follows: - Given: S3 = 5m, t = 3s - Using the formula for displacement, we have: S3 = V0(3) + (a/2)*(3^2) - Substituting the given value of S3, we get: 5 = 3V0 + (9a/2)

From the provided search snippet we can see the calculation for acceleration: ``` S3=V0(3) + (a/2) = 3V0 + (a/2); 2.5=a(2+0.5); a=1 ``` Therefore, the acceleration (a) is 1 m/s^2.

Calculating Velocity at the End of the Third Second

The formula for velocity (V) in terms of initial velocity (V0) and acceleration (a) is given by: V = V0 + at

Using the calculated acceleration (a = 1 m/s^2) and the time (t = 3s), we can calculate the velocity (V) at the end of the third second: V = V0 + a*t = V0 + 1*3 = V0 + 3

From the provided search snippet we can see the relationship between initial velocity and final velocity: ``` Vo. V=3Vo ``` This indicates that the final velocity is three times the initial velocity.

Therefore, the velocity of the body at the end of the third second is three times the initial velocity.

In summary, the acceleration of the body's motion is 1 m/s^2, and the velocity of the body at the end of the third second is three times the initial velocity.