in the game toad drop a white toad is dropped from a height of 0.024km in the air hitting the ground with a loud splat determine how far above the ground the toad is when it is moving at 13m/s
To find the distance above the ground when the toad is moving at 13m/s, we first need to determine the time it takes for the toad to reach that speed.
Using the equation of motion:
v^2 = u^2 + 2as
where:
v = final velocity (13 m/s)
u = initial velocity (0 m/s)
a = acceleration due to gravity (-9.8 m/s^2, negative because it is acting in the opposite direction of motion)
s = distance fallen (0.024 km = 24 m)
We can rearrange the equation to solve for time:
13^2 = 0 + 2*(-9.8)*24
169 = -19.6t
t = 169 / 19.6
t ≈ 8.63 seconds
Now that we have the time it takes for the toad to reach 13m/s, we can find the distance fallen during this time using the equation:
s = ut + 0.5at^2
s = 0*8.63 + 0.5*(-9.8)*(8.63)^2
s = 0.5*(-9.8)*(74.3689)
s ≈ -364.65 m
Therefore, the distance above the ground when the toad is moving at 13m/s is approximately 24 m - 364.65 m = -340.65 m. Since the toad is below the ground when it is moving at 13m/s, it has already made a splat on the ground.