NASA launches a rocket at t=0t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=-4.9t2 +184t+423  The rocket splashes down after how many seconds? The rocket peaks at how many meters above sea level?

Q: - The height in feet reached by a baseball tossed upward at a speed of 48 feet/second from the…

A: Proceed as shown below...

Q: The average cost of tuition and fees at public four-year colleges in the United States can be…

A:

Q: Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball…

A: We need to find time when height of ball at 64 feet  In given model h(t) = -16t2+48t+32

Q: The height in feet reached by a baseball tossed upward at a speed of 48 feet/second from the ground…

A:

Q: April shoots an arrow upward into the air at a speed of 64 feet per second from a platform that is…

A:

Q: The revenue from the sale of a product is given by the function R= 324x-x. Selling how many units…

A:

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: a) The tallest building in the world is located in Dubai and is the Burj Khalifa which measures 828…

A:

Q: The annual amount of energy produced in a country from dry natural gas (in trillion cubic feet) can…

A:

Q: The cost of a school banquet is $95 plus $15 for each person attending. WVrite an equation that…

A: Given : The cost of a school banquet is $ 95 plus $ 15 for each person attending. We have to write…

Q: A stone is thrown upwards and it's height in meters at time t seconds is given by…

A:

Q: The population P of a culture of bacteria is described by the equation P = 1300e0.0527 where t is…

A:

Q: Use the position function s(t) = -16t2 + v0t + s0 to solve: A projectile is fired vertically upward…

A: The position vector is given as  s(t)=-16t2+v0t+s0 here v0=48 ft/sec s0 is the height at ground…

Q: A baseball that is thrown in the air follows a trajectory of                  h(t)=−4t2 +12t+6,…

A: When the ball hits the ground then h(t)=0 So the equation becomes  −4t2 +12t+6=0

Q: the height ( in feet) attained by a rocket t sec into flight is given by the function…

A:

Q: A football is punted into the air. Its height is given by h (t) = -4. 9t² + 24. 5t + 1 where h is in…

A: Given ht=−4.9t2+24.5t+1 We have to find the maximum height of the ball and the time of the ball…

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: The speed of a viral post is modeled by the function, Γ ( t ) = 3 squareoot 2t + 8e^t. If t is the…

A:

Q: The height (in feet) of a stone thrown upward on another planet is given by the function f (t) =…

A:

Q: A ball is thrown vertically upward.  After t seconds, its height h, in feet, is given by the…

A:

Q: Use the position function s(t) = -16t2 + v0t + s0 to solve this problem. A projectile is fired…

A:

Q: An object has a position (in metres) given by the expression s(t) = t3 - 4t2 + 5, where t is…

A:

Q: The height (in meters) of a ballistic t seconds after being launched is modeled by the function h…

A: For an equation for distance, with respect to time, we can find the velocity and acceleration, by…

Q: YOUR TURN!! Given the function f (x) (x + 5) + 8, ax² + %3D What is the equation of the function…

A: fx=x+52+8

Q: Lloyd and Randy are making a model rocket for a science project. On their first test run, the…

A:

Q: The average cost of tuition and fees at public four-year colleges in the United States can be…

A:

Q: The path of a rocket is given by the function h (t) = -3t2 + 30t + 73 where h is the height in…

A:

Q: The annual amount of energy produced in a country from dry natural gas (in trillion cubic feet) can…

A: (a) The given function is gt=15.621.041t. Here the year 2013 corresponds to x = 13. Substitute 13…

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: The height h in feet of a ball t seconds after being tossed upwards is given by the function…

A:

Q: The height h in feet of a ball t seconds after being tossed upwards is given by the function…

A: Find time when the ball reaches maximum height

Q: The number of ducks living near a lake is modeled by d(t) = 100e ^-(t-7)^2 ducks, where t is the…

A: Given, dt=100e-t-72 t is the number of months. To find, The maximum number of ducks living around…

Q: April shoots an arrow upward into the air at a speed of 32 feet per second from a platform that is…

A:

Q: The number of bacteria in a culture is modeled by the function n(t)=30e^rt where t is in hours.…

A:

Q: t4 – 3t3 - What types of discontinuities does the function h(t) have? 3t – 1 -

A: Given function is  h(t) =( t^4-3t^3)/(3t-1)  We have to find the type of discontinuity .

Q: 5. The height, h(t), in feet, of an object shot from a cannon with initial velocity of 20 feet per…

A:

Q: The height, h, of a projectile above the ground t seconds after liftoff is given by the function,…

A: The height is given as :- h(t)=-3t2+72t   for 0≤t≤24 Time when the projectile reach its maximum…

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(z)…

A: Substitute f(x)=6.8 in the equation of f(x) and solve for x to find its value. Use the value of x to…

Q: Abraham throws a ball from a point 40 m above the ground. The height of the ball from the ground…

A: Given that      Abraham throws a ball from a point 40m above the ground. The height of the ball from…

Q: A person æ inches tall has a pulse rate approximately given by the function y = 590x-1/2 The…

A:

Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of…

A: The maximum of a function can be obtained by equating the first derivative of the function to 0. The…

Q: A population of bacteria is growing according to the equation P(t)=300e0.14tP(t)=300e0.14t. Estimate…

A: Given P(t) = 300 e^0.14t Given P(t) = 685 Now 685 = 300 e^0.14t         685/300 = e^0.14t…

Q: A population of bacteria is growing according to the equation P(t) = 1400e , Estimate when the…

A: Given: A population of bacteria is growing according to the equation P(t)=1400e0.09t. The value of…

Q: A population of bacteria is growing according to the equation P(t)= 1150e.18t. Use a graphing…

A:

Q: A shoe company is planning a new brand of walking shoe for the market. Research shows that x, the…

A: A function f(x) is said to be differentiable at x=a where a∈m, n,if: limh→0fa+h-fah A function f is…

Q: A stone is thrown upward and it's height in meters of time t seconds is given by h(t)=-4.9t+25t+2.3…

A:

Q: April shoots an arrow upward into the air at a speed of 32 feet per second from a platform that is…

A: Given that , April shoots an arrow upward into the air at a speed of 32 feet per second and height…

Q: A population of bacteria is growing according to the equation P(t)=550e^0.09t Use a graphing…

A: We graph y=550e0.09x and y=894 using a calculator in the same window.

Q: the average price of a two-bedroom apartment in downtown New York City during the real estate boom…

A: Given average prize : p(t) = 0.33e0.16t million dollars  t=0 represent 1994 in 1995 i.e…

Q: The national catch of Atlantic Cod has been declining in the past few decades. We can model this…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.