Jessi launched a toy rocket vertically upward having an initial velocity of 100 feet per second then in height (h) after (t) seconds modelled by h(t)=-25t2+100t after how many seconds it will return to the ground?

Q: Lamont walks the 15 meters from the front door of his house to his car at a constant rate of speed.…

A:

Q: 8. A cheerleader jumping off another cheerleader can be modeled using the equation ht)--2.5 - 10,…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The equation for free fall at the surface of some planet (s in meters, t in seconds) is s = 4.7112.…

A: This question is based on application of Derivative.

Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: Given height is : Sx=60+29.4x-9.8x2 (a) How long will it take the projectile to reach its maximum…

Q: d) An 800-liter tank is half full of water is being filled with water pumped at the rate of 45…

A: We have, an 800-liter tank is half full of water and is being filled with water pumped at the rate…

Q: Allen runs 8 miles in 3 hours at a steady pace. How long does it take him to run 3 miles?

A: speed is calculated by the formula,

Q: A race car driving under the caution flag at 80 feet per second begins to accelerate at a constant…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: At the beginning of spring, Caroline planted a small sunflower in her backyard. When it was first…

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Q: Jane is 2 mi offshore in a boat and wishes to reach a coastal village 6 mi down a straight shoreline…

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Q: On a college campus of 3000 students, the spread of flu virus through the student is modeled by…

A: The logistic growth rate model always produces an exponential function. If the model contains the…

Q: stone is thrown vertically into the air at an initial velocity of 97 ft/s. On a different planet,…

A:

Q: If an object is dropped from a 192-foot-high building, its position (in feet above the ground) is…

A: Given data:   The height of the building is h=192 feet. The given expression for the position of the…

Q: An object is moving in horizontal direction according to the equation () =r3– 3r? – 9t + 1· At what…

A:

Q: A cannon ball is launched upward with a velocity of 80 feet per second from the top of a 224 foot…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  when the ball hits…

Q: Part of the P40, 000 was loaned at 2% and the rest at 3% interest. The income from the 2% investment…

A:

Q: The height of a cannonball is h(t) = -16t2 + 64t + 10 feet, where t is measured in seconds. At what…

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Q: If a ball is thrown directly upward with a velocity of 50 ft/s, its height (in feet) after t seconds…

A:

Q: Suppose the equation for the amount of water w (in gallons) in the pool after t hours is w=…

A: It is given that, if w is the amount of water (in gallons) in the pool after t hours, then w=…

Q: Jotaro is running west at 5 mph. Josuke is running north at 2 mph. After 2 hours how fast is the…

A:

Q: At the beginning of spring, Samantha planted a small sunflower in her backyard. When it was first…

A: Given: Samantha planted a small sunflower in her backyard. When it was first planted, the sunflower…

Q: A runs 7/4 times as fast as B. if A gives B a start of 84 miles , how far must the winning post be…

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Q: The profit per acre from a grove of orange trees is given by x(230 - x) dollars, where x is the…

A: Given profit function :

Q: Q:X takes 3 hours more than Y to walk 30 km.But, If X double his pace, he is ahead of Y by 1–…

A: Given- X takes 3 hours more than Y to walk 30 km and if X doubles his pace, he is ahead of Y by…

Q: A vehicle purchased for $32500 depreciates at a constant rate of 16 % each year. Its value after t…

A: We will find the number of years that it takes for the vehicle to depreciate to $11000 as following.

Q: The cost of a personal computer is $700 and its value is depreciating with time according to the…

A:

Q: A population of bacteria is growing according to the equation P(t) = 1550e0.11t , where t is the…

A: The time dependence of the population is given by: P(t) = 1,550e0.11t  We have to find t when P(t)…

Q: What value for tmakes this equation true?

A:

Q: I am trying to find the time when the object reaches its highest point and s(t) = -4.9t2+11t+600…

A: given, s(t) = -4.9t2+11t+600 with a rate of 11m/s

Q: The height above ground of an object movingvertically is given bys = -16t2 + 96t + 112,with s in…

A: Given: st=-16t2+96t+112 for finding velocity at given point, first we find time where position is…

Q: Jasmine ran and jumped onto her scooter, which was at rest. Jasmine's mass is 45 kg, and the…

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Q: An arrow is shot vertically upward at a rate of 200 feet per second from ground level.  Use the…

A: Initial speed v°= 200 ft./se Height = 291 ft.

Q: As the relative humidity increases, the temperature seems higher than it is.  The formula T = 0.101x…

A:

Q: An object is thrown downward, with an initial speed of 16 ft/s, from the top of a building 320 ft…

A: v=initial speed= -16 ft/s [given]When the object hits the ground then it will cover 320 ft. So,…

Q: If an object is dropped from a 150-foot-high building, its position (in feet above the ground) is…

A: Negative sign of the velocity is due to the downward movement of the body.

Q: A population of bacteria is growing according to the equation P(t) = 550e0.224, Estimate when the…

A:

Q: A venicle purchased for $27500 depreciates at a constant rate of 14 %o each year. Its value after t…

A: Given  value of the vehicle after t year   is    P(t)=P0.86t

Q: At the beginning of spring, Madeline planted a small sunflower in her backyard. When it was first…

A: Given initial height of sunflower plant, he = 10 inches   Also, the sunflower grows at a rate of 1…

Q: A ball is thrown vertically upward from the top of a building 50 feet tall with an initial velocity…

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Q: A company selling widgets has found that the number of items sold, x, depends upon the price, p at…

A: Please see the explanation below

Q: The United States is not building many nuclear power plants, but the ones it has are running at…

A: Graph of y = 1.9467t + 70.082

Q: The height (in feet) at any time t (in seconds) of a projectile thrown vertically is h(t) =-16t2 +…

A: We have to find the velocity when the object hits the ground. The given height function is…

Q: Jane has twice as much money invested at 5% annual intrest as she does at 4%. If her yearly income…

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Q: The height h, in feet, of a ball above the groundt seconds after being thrown upward with a velocity…

A: We simply use make quadratic equation and solve it .find time

Q: The height of an object (in feet) propelled upward is given by the equation, h(t) = - 16t +96t + 112…

A:

Q: The height of a projectile fired upward is given by the formula s=v0t-16t2, where s is the height,…

A:

Q: The equation for the motion of a projectile fired straight up at an initial velocity of 64 ft/s is…

A: The equation for the motion of a projectile fired straight up with and inital velocity of 64ft/sec…

Q: Blake is doing laps around a track. Blake can run 3 miles per hour faster than he can walk around…

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Q: Mr. Joy drove 60 miles from city A to the city B at 40 mph. He then drove back to City A at a higher…

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Q: A rock is thrown off of a 100 foot cliff with an upward velocity of 45 m/s. As a result its height…

A:

Q: x =t5 -10t², when will the acceleration be zero?

A: