# math

the path of a cliff diver as he dives into a lake is given by the equation y=-(x-10)power of 2 + 75...where y meters is the divers height above the water and x metres is the horizontal distance travelled by the diver. what is the maximum height the diver is above the water?

1. 👍
2. 👎
3. 👁
1. y = -(10-x)^2+75
This is just a parabola with vertex at (10,75)

So, the max height is 75 meters

1. 👍
2. 👎

## Similar Questions

1. ### Math

From a boat on the lake, the angle of elevation to the top of a cliff is 26°35'. If the base of the cliff is 85 feet from the boat, how high is the cliff (to the nearest foot)? A. 56 feet B. 43 feet C. 53 feet D. 46 feet I HAVE

2. ### physics

A 57.0 kg diver dives from a height of 15.0 m. She reaches a speed of 14.0 m/s just before entering the water. (a) What was the average force of air resistance (e.g., friction) acting on the diver. (b) What is the force of

3. ### physics

A diver swims to a depth of 3.2 m in a freshwater lake. What is the increase in the force pushing in on her eardrum, compared to what it was at the lake surface? The area of the eardrum is 0.60 cm2.

4. ### Algebra

The path of a diver is given by y=-4/9 x^2 + 24/9x +12 where y is the height (in feet) and x is the horizontal distance from the end of the diving board (in feet). What is the maximum height of the diver?

1. ### physics

A diver running 1.8m/s dives out horizontally from the edge of a vertical cliff and 3.0s later reaches the water below. How high was the cliff, and how far from its base did the diver hit the water?

2. ### Physics

a diver running 1.6m/s dives out horizontally from the edge of a vertical cliff and reaches the water below 3.0s later. how high was the cliff and how far from its base did the driver hit the water?

A diver is on the 10 m platform, preparing to perform a dive. The diver’s height above the water, in metres, at time t can be modelled using the equation h(t)= 10+ 2t - 4.9t^2. a) Determine when the diver will enter the water.

4. ### Physics

two campers in a national park hike from their cabin to the same spot on a lake each taking a different path. the total distance traveled along path 1 is 7.5 km and that along path 2 is 8.2 km. what is the final displacement of

1. ### physics

A hiker determines the length of a lake by listening for the echo of her shout reflected by a cliff at the far end of the lake. She hears the echo 1.7 s after shouting. Estimate the length of the lake.

2. ### Math

The path of a diver is approximated by the following, where y is the height (in feet) and x is the horizontal distance (in feet) from the end of the diving board. y= (-4/9)x^2+(24/9)x+13 What is the maximum height of the diver in

3. ### physics

a diver jumps off a cliff with an intial velocity of 5.0 m/s. the diver strikes the water 3.0s later. what is the vertical speed of the diver upon reaching the surface of the water?

4. ### physics

Consider a system of a cliff diver and the earth. The gravitational potential energy of the system decreases by 21,000 J as the diver drops to the water from a height of 32.0 m. Determine her weight in newtons.