The formula for the height of a fallinis shown below, where h is the height of the object in meters, t is the time in seconds, and k is the height, in meters, from which the object began its fall.
h=-4.9f+k
If aq rock is droppped from a building that is 150 meters tall, what is the height of the rock 4 seconds after it was dropped?
F 71.6 meters
G 78.4 meters
H 130.4 meters
j 145.1 meters
h = -4.9t + k
h = -4.9(4) + 150
Can you do the calculations?
130.4
To find the height of the rock 4 seconds after it was dropped, we can use the given formula:
h = -4.9t + k
We are given that the building is 150 meters tall, so we can substitute k = 150 into the formula:
h = -4.9t + 150
Now we can simply substitute t = 4 into the formula to find the height at that time:
h = -4.9(4) + 150
h = -19.6 + 150
h = 130.4 meters
Therefore, the height of the rock 4 seconds after it was dropped is 130.4 meters.
So the correct answer is option H: 130.4 meters.