Question

select the correct answer.
a bubble originating at the bottom of a lake rises to the surface within 10.0 seconds with an acceleration of 10.0 meters/second². what is the depth of the lake?
a. 100 meters
b. 200 meters
c. 300 meters
d. 400 meters
e. 500 meters

Explanation:

Step1: Identify kinematic equation

We use the displacement equation for constant acceleration:
$$s = ut + \frac{1}{2}at^2$$
where $u=0$ (starts from rest), $a=10.0\ \text{m/s}^2$, $t=10.0\ \text{s}$.

Step2: Substitute values into formula

Substitute $u=0$, $a=10.0$, $t=10.0$:
$$s = 0 + \frac{1}{2} \times 10.0 \times (10.0)^2$$

Step3: Calculate the depth

Simplify the expression:
$$s = 5.0 \times 100 = 500\ \text{meters}$$

Answer:

E. 500 meters