Question

Тело начавшее двигаться равноускоренно из состояния покоя за 5 с набирает скорость 108 км/ч.с каким ускорением двигается тело и чему равно его перемещение за это время?

Answer 1

V0=0 тк тело начинает движение из состояния покоя
t=5c
v(конечная)=108км/ч=30 м/c
находим ускорение: a=30 м/с / 5 с = 6 м/с^2
S(перемещение)=a(t^2)/2=6*25/2=75 метров

Answer 2

Vo=0
V=108км/ч=30м/с
Δt=5c
a-? S-?
Ускорение а=ΔV/Δt =(V-Vo)/Δt,  a=30 м/с/5с=6м/с²
Перемещение  при Vo=0      S=at²/2,  S=6*5²/2=75 м

Answer 3

Calculation of Acceleration and Displacement

To calculate the acceleration and displacement of an object that starts moving uniformly from rest and reaches a speed of 108 km/h in 5 seconds, we can use the following formulas:

Acceleration (a): The acceleration of an object is the rate at which its velocity changes over time. It can be calculated using the formula:

a = (v - u) / t

where: - a is the acceleration - v is the final velocity - u is the initial velocity (which is 0 in this case, as the object starts from rest) - t is the time taken

In this case, the final velocity (v) is 108 km/h, which needs to be converted to m/s for consistent units. We can use the conversion factor of 1 km/h = 0.2778 m/s.

108 km/h * 0.2778 m/s = 30 m/s

Substituting the values into the formula:

a = (30 m/s - 0 m/s) / 5 s = 6 m/s²

Therefore, the acceleration of the object is 6 m/s².

Displacement (s): The displacement of an object is the change in its position from the initial point to the final point. It can be calculated using the formula:

s = ut + (1/2)at²

where: - s is the displacement - u is the initial velocity - t is the time taken - a is the acceleration

In this case, the initial velocity (u) is 0 m/s, as the object starts from rest. The time taken (t) is 5 seconds, and the acceleration (a) is 6 m/s².

Substituting the values into the formula:

s = (0 m/s) * (5 s) + (1/2) * (6 m/s²) * (5 s)² = 0 m + 1/2 * 6 m/s² * 25 s² = 75 m

Therefore, the displacement of the object is 75 meters.

To summarize: - The acceleration of the object is 6 m/s². - The displacement of the object is 75 meters.

Please note that the calculations provided above are based on the information given and may not account for other factors or assumptions.