Question

Начальная скорость тележки движущей вниз по наклонной доске равна 10 см\с всю длину доски равную 2 м тележка прошла в течении 5 сек определите ускорение тележки

Answer 1

С начала переводим скорость тележки в систему СИ 10cм/с=0.1м/с

из формулы S=Vot+at^2/2  выводим ускорение

2S=2Vot+at^2

at^2=2S-2Vot

a=(2S-2Vot)/t^2

подставляем числовые значения a=(2*2-0.1*5*2)/25

а=3/25

а=0.12м/с^2

Ответ ускорение тележки a=0.12м/с^2

 

Answer 2

Calculation of Acceleration

To determine the acceleration of the cart moving down the inclined board, we can use the formula:

acceleration = change in velocity / time

Given that the initial velocity of the cart is 10 cm/s and it travels for 5 seconds, we need to convert the length of the board from meters to centimeters. Since 1 meter is equal to 100 centimeters, a 2-meter board is equal to 200 centimeters.

Now we can calculate the change in velocity:

change in velocity = final velocity - initial velocity

The final velocity can be calculated using the formula:

final velocity = initial velocity + acceleration * time

Since the final velocity is not given, we need to solve for it. Rearranging the formula, we have:

final velocity = initial velocity + acceleration * time

Substituting the given values:

final velocity = 10 cm/s + acceleration * 5 s

Now we can substitute the final velocity into the formula for change in velocity:

change in velocity = (10 cm/s + acceleration * 5 s) - 10 cm/s

Finally, we can substitute the values into the formula for acceleration:

acceleration = change in velocity / time

Let's calculate the acceleration using the given values.

Answer 3

Calculation of Acceleration

To determine the acceleration of the cart, we can use the formula:

Acceleration (a) = Change in velocity (v) / Time taken (t)

Given that the initial velocity (v1) of the cart is 10 cm/s and it travels for 5 seconds, we need to find the final velocity (v2) to calculate the acceleration.

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