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Eliza is at the top of a 50-meter high ski half-pipe that has a

slope of 40°. She has a mass of 100 kilograms. If she lets
herself slide from a stand-still down the side of the snowy
ramp, how fast will she be going at the bottom? Use g = 10
m/s/s, and round your answer to the nearest hundredths.
m/s
V=

User Sifeng
by
7.5k points

1 Answer

1 vote

Answer:

V=31.62 m/s.

Step-by-step explanation:

To find the speed at which Eliza will be going at the bottom of the half-pipe, we can use the following formula:

V = √(2gh)

where V is the speed, g is the acceleration due to gravity (10 m/s/s), h is the height of the half-pipe (50 meters), and h is the slope of the half-pipe (40°).

Plugging these values into the formula, we get:

V = √(2 * 10 m/s/s * 50 meters)

V = √(1000 m/s)

V = 31.62 m/s

Thus, Eliza will be going about 31.62 m/s at the bottom of the half-pipe. Rounded to the nearest hundredths, this is 31.62 m/s.

User Bbrodsky
by
7.6k points