425 m P 225 m

Q: Suppose a child drops juice cup while in their high chair from a height of 2 feet. Use the position…

A: Suppose a child drops juice cup while in their high chair from a height of 2 feet. Position equation…

Q: Juan is riding on a circular Ferris wheel that has a 61-foot radius and whose bottom is 10 feet…

A: The radius of the Ferris wheel is 61 feet and its bottom is 10 feet above the ground. After the…

Q: The linear velocity of 20-inch bicycle is given by 12571.4 inch/min. The linear velocity of 26 inch…

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Q: The height h (in feet) above ground of a seat on a Ferris wheel at time t (in seconds) is modeled by

A: h(t) = 50 + 55 sin( πt/15 - π/2 )

Q: The power Prequired to propel a ship varies directly as the cube of the speed s of the ship. 5500 hp…

A: To determine the power required to propel the ship at 20.0 mi/h.

Q: You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 140 km south and 145…

A:

Q: What is the value of t in year 2014 ?  (Recall that t is the number of years after 1995) Estimate…

A: In multiple linear regression, there will be more than one independent variable. In simple linear…

Q: ce of 500 km in 10 hours. What is its speed in km/hr?

A: The speed of an object is the distance travelled by the object per unit time taken by the object to…

Q: A cat, walking along the window ledge of a New York apartment, knocks off a flower pot, which falls…

A: I have calculated speed in feet / second. I have used acceleration due to gravity as 32 feet/second.…

Q: The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km)…

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Q: A rocket can rise to a height of  h(t) = t3 + 0.2t2  feet in t seconds. Find its velocity and…

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Q: Use the four-step procedure for solving variation problems to solve : The distance that a spring…

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Q: Sofi  is 1.50 meters high and goes straight towards a streetlight  that is 6 meters high. (She walks…

A: Consider the following figure: AB represents height of streetlight. ED represents height of Person…

Q: Show illustration and give detailed solutions. A car traveling north at 60 mph and a truck…

A: A car traveling north at 60 mph and a truck traveling east at 45 mph leave an intersection at the…

Q: traveling at 47 ft/sec decelerates at a constant 2 feet per second per second. How many feet does…

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Q: . The formula v = /2gs represents the velocity (v) of an object that has fallen a distance of 5…

A:

Q: A man drive to his workplace at 30 kph. On the way home he traveled at 50 kph. What is his average…

A: The man drive to his workplace at, let S1, at 30 kph. That is, S1=30 kph And, on the way to home he…

Q: Carlisle is a distance of 135miles away from Airdrie. If I travelled at a constant speed of 45mph.…

A: (8) Given information Distance=135 miles Speed=45 mph Where, mph=miles per hours We have to find the…

Q: Jose is standing next to a mailbox when he begins walking north from the mailbox at a constant speed…

A: Given: Speed of Jose = 6 feet per sec To find: Distance of Jose from mailbox after 8 sec.

Q: Describe how to solve y=mx+c. What assumptions have you made about the value of m?

A: y=mx+c  represents the equation of a straight line .

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: What is…

A: Given that a ball launched at in air t seconds after  it is launched byf(t)=-16t2+300t+20When the…

Q: What is the velocity of a ball dropped from a height of 210 m when it hits the ground? Take the…

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Q: A man 6 ft tall is walking toward a building at the rate of 5 ft/sec. If there is a light at the…

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Q: A car moves at a speed of 30m/s. It decreases its speed to 10m/s. The change in speed takes 5…

A: We find acceleration when a car moves at a speed of 30m/s. It decreases its speed to 10m/s. The…

Q: You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 141 km south and 136…

A: QUESTION- You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 141 km south…

Q: Find the velocity of a fish tank accidentally dropped from a heigh of 250m the         moment as it…

A: Please see the explanation below

Q: The figure below shows the velocity, v (in feet/second), of a runner for 0 < t< 20 seconds and the…

A: The graph of the velocity of the runner is shown above in the question. The time of the running is…

Q: A car is driving at 95 kilometers per hour. How far, in meters, does it travel in 5 seco meters Give…

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Q: Ubaldo Jimenez is standing on a cliff above a beach. He throws a rock upward at a speed of 70 feet…

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Q: P is directly proportional to the cube of Q. When Q = 15, P = 1350. a. Find a formula for P in terms…

A: Given that p is directly proportional to the cube of cube hence p= k q^3

Q: h (t) = -5t² + 40t . What will the velocity be after 3 seconds? O 75 ft/sec O 10 ft/sec 90 ft/sec O…

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Q: The time it takes to travel a certain distance varies inversely with the rate of speed. It takes 8…

A: Given (13) The deposited amount is directly proportional to the interest received. The deposited…

Q: The formula U = V2.4r models the maximum safe speed, v, in miles per hour, at which a car can travel…

A: From the data: The radius of the curvature at an exit ramp on a highway =r= 450 Ft.

Q: A 5-meter long iron wire is cut in two. One piece is to form a square and the other a circle. a)…

A: According to the given information, Let x be the perimeter of the square and 5-x be the…

Q: You complain that the hot tub in your hotel suite is not hot enough. The hotel tells you that they…

A: Current temperature=75°FTemperature increases by 5% every hourTemperature after 1 hour=(75+5% of…

Q: A dynamite blast blows a heavy rock straight up with a launch velocityof 160 ft/sec (about 109 mph)…

A:

Q: (ou're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 235 km south and 137…

A: Given query is to find the time taken to reach to closest point to Mt rainier.

Q: An airplane is heading north at an airspeed of 650 km/hr, but there is a wind blowing from the…

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Q: B. Find the time when the object is furthest to the right. Explain your answer.

A: Given that:

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: The height of the ball f(t)=-16t2+326t+22

Q: Consider a ball thrown upward at 104 feet per second from a ledge 60 feet from the ground. If…

A:

Q: The formula v = /2gs represents the velocity (v) of an object that has fallen a distance of 5 feet,…

A: A square is a number that produces a specific quantity when multiplied by itself. That is, if x is…

Q: You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 25 km south and 142 km…

A: We have to find the time when the plane is flying closest to Mt. Reiner.

Q: b) A cargo plane is flying west at 600 km/h. A fighter jet on an aircraft carrier 400 km due south…

A: To determine the optimization function and boundary interval.

Q: Jose is standing 9 feet east of a mailbox when he begins walking directly east of the mailbox at a…

A: Given that, Jose is standing 9 feet east of a mailbox when he begins walking directly east at a…

Q: A ball is thrown vertically Upward from the ground h(t) = 100+50t - 16t at what time will the ball…

A:

Q: A searchlight rotates at a rate of 2 revolutions per minute. The beam hits a wall located 7 miles…

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Q: Jasmine and Lily are 100 feet apart when they spot each other and they start moving towards each…

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Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower…

A: Solution ) u = 40ft/ sec , s = 200ft We know from newton law  v = u + gt  When we throw and stone…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.