The height of a diver above the water, is given by , where is time measured in seconds and is measured in meters. Select all statements that are true about the situation.A:The diver begins 5 meters above the water.B:The diver begins 3 meters above the water.C:The function has 1 zero that makes sense in this situation.D:The function has 2 zeros that make sense in this situation.E:The graph that represents starts at the origin and curves upward.F:The diver begins at the same height as the water level.

ProblemSuppose Jeremiah is a diver for his summer swim team. The function h(x)=−4.9x2+8x+5ℎ(𝑥)=−4.9𝑥2+8𝑥+5 represents Jeremiah's height (hℎ) in meters above the water x𝑥 seconds after he leaves the diving board.What is the initial height of the diving board?At what time did Jeremiah reach his maximum height?What was Jeremiah’s maximum height?Sketch a graph of the function. (You can use your calculator for this or create a table of values.) SolutionThe initial height of the diving board is when the time is zero.h(0)=−4.9x2+8x+5ℎ(0)=−4.9𝑥2+8𝑥+5h(0)=−4.9(0)2+8(0)+5ℎ(0)=−4.9(0)2+8(0)+5h(0)=0+0+5ℎ(0)=0+0+5h(0)=5ℎ(0)=5The initial height of the diving board is 55 m.The time at which Jeremiah reaches his maximum height is the x𝑥-coordinate of the vertex.x=−b2a𝑥=−𝑏2𝑎x=𝑥=2(2( ))x=−8−9.8𝑥=−8−9.8x=0.82𝑥=0.82 secIt took Jeremiah seconds to reach his maximum height.The maximum height was reached Jeremiah at seconds. The maximum height is the y𝑦-coordinate of the vertex.h(t)=−4.9x2+8x+5ℎ(𝑡)=−4.9𝑥2+8𝑥+5h(0.82)=−4.9(0.82)2+8(0.82)+5ℎ(0.82)=−4.9(0.82)2+8(0.82)+5h(0.82)=−3.29+6.56+5ℎ(0.82)=−3.29+6.56+5h(0.82)=8.27ℎ(0.82)=8.27 mThe maximum height reached by Jeremiah was m.CheckQuestion 8

(08.02 MC)The function f(x) = −x2 − 9x + 10 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent?Group of answer choicesx = 1; the diver jumps in the pool at 1 foot per secondx = 10; the diver jumps in the pool at 10 feet per secondx = 1; the diver hits the water 1 foot away horizontally from the boardx = 10; the diver hits the water 10 feet away horizontally from the board

1. Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = -16t² + 16t + 480, where t is the time in seconds and h is the height in feet.a. How long did it take for Jason to reach his maximum height?b. What was the highest point that Jason reached?c. Jason hit the water after how many seconds?

Jamieson is competing in his school’s 3.0-metre diving competition. For his last dive, he is performing a forward somersault. The duration of the dive must be exactly 1.75 seconds or he will under- or over-rotate before hitting the water. He jumps upwards off the board with a vertical velocity of 6.0 m s−1 and takes $t$t​ seconds to land in the pool. Take the upwards direction as positive.Which of the following correctly describes the displacement of the diver as he hits the water?A0 mB3.0 mC−3.0 mD6.0 m

A bucket is being filled with water. The graph below shows the water height (in ) versus the time the water has been running (in seconds).Use the graph to answer the questions. The graph is a line graph. The y-axis is the height of the water in mm, and the x-axis is the time in seconds. The line is linear, which means that the height of the water increases at a constant rate. The graph shows the height of water in a bucket over time. The height of the water increases linearly with time. The rate of increase is 5 mm per second.(a)How much does the height of the water increase for each second the water is running?(b)What is the slope of the line?