Question

test information description from the list of choice, select the one best option. instructions from the list of choice, select the one best option. multiple attempts not allowed. this test can only be taken once. force completion this test can be saved and resumed later. your answers are saved automatically. question completion status: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 << question 21 of 26 >> moving to another question will save this response. 5 points save answer question 21 water drips from rest from a leaf that is 15 meters above the ground. neglecting air resistance, what is the speed of each water drop when it hits the ground? 15 m/s 40 m/s 30 m/s 20 m/s 17 m/s

Explanation:

Step1: Identify the kinematic - equation

We use the equation $v^{2}=v_{0}^{2}+2a\Delta y$. The initial velocity $v_{0} = 0$ m/s (starts from rest), the acceleration $a = g= 9.8$ m/s², and the displacement $\Delta y=15$ m.

Step2: Substitute the values

Substitute $v_{0} = 0$ m/s, $a = 9.8$ m/s², and $\Delta y = 15$ m into the equation $v^{2}=v_{0}^{2}+2a\Delta y$. We get $v^{2}=0 + 2\times9.8\times15$.

Step3: Calculate $v^{2}$

$v^{2}=2\times9.8\times15=294$.

Step4: Solve for $v$

$v=\sqrt{294}\approx17.15$ m/s.

Answer:

17 m/s