1) How high is the platform? The acceleration
of gravity is 9.8 m/s
2
.
Answer in units of m
2) How far from the base of the platform does
she land?
From the question above, we know that Janet is moving horizontally at 2.33 m/s for 1.5 seconds.
2) How far from the base of the platform does she land? = 2.33 * 1.5 = 3.495 m
Since Janet is falling for 1.5 seconds, we can use the following equation to determine the distance she falls.
d = vi * t + ½ * 9.8 * t^2
vi initial vertical velocity = 0 m/s
d = ½ * 9.8 * 1.5^2 = 11.025 meters
This is the height of the platform.
1) Y=Yo+Vy(t) + (1/2)g(t²)===> Y=0 (its the water) Vy = 0 ( vertical velocity) g= (-9.8m/s²)
0 = Yo +0 +(1/2)(-9.8)(1.5²)
0 = Yo - 11.025 m
11.025m = Yo ( height of platform)
_________________
2) Horizontal equations
X= Vx(t) where Vx = 2.33 m/s
X = 2.33(1.5) = 3.495 m
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Answers & Comments
From the question above, we know that Janet is moving horizontally at 2.33 m/s for 1.5 seconds.
2) How far from the base of the platform does she land? = 2.33 * 1.5 = 3.495 m
Since Janet is falling for 1.5 seconds, we can use the following equation to determine the distance she falls.
d = vi * t + ½ * 9.8 * t^2
vi initial vertical velocity = 0 m/s
d = ½ * 9.8 * 1.5^2 = 11.025 meters
This is the height of the platform.
1) Y=Yo+Vy(t) + (1/2)g(t²)===> Y=0 (its the water) Vy = 0 ( vertical velocity) g= (-9.8m/s²)
0 = Yo +0 +(1/2)(-9.8)(1.5²)
0 = Yo - 11.025 m
11.025m = Yo ( height of platform)
_________________
2) Horizontal equations
X= Vx(t) where Vx = 2.33 m/s
X = 2.33(1.5) = 3.495 m