Question

HELP PLEASE

WILL AWARD BRAINLIEST

Mary throws her Grandma’s favorite crystal dish out the second floor window, which is 6 meters from the ground. She is really upset and tosses it at 35 meters per second.

Write an equation to represent the situation above.

Answer 1

Answer:

$h(t) = 6 + 35t - 4.9t ^ 2$

Step-by-step explanation:

To solve this problem we can use the kinematic equation for the position of an object.

$h(t) = h_0 + v_0t - \frac{1}{2}gt ^ 2$

Where:

$h(t)$ is the position of the object

$h_0$ is the initial position

$v_0$ is the initial velocity

t = time

g is the acceleration of gravity.

We know that the height from the window to the floor is 6 meters and that Mary was launched at an initial speed of 35 m/s

So:

$h_ 0 = 6\ m\\\\v_0 = 35\ m/s\\\\g = 9.8\ m/s ^ 2$

Finally, the equation that represents this situation is:

$h(t) = 6 + 35t - \frac{1}{2}9.8t ^ 2$