Suppose a ball is dropped from a height of 900 feet. Its position at time t is s(t) = -16t2 + 100. Find the time t when the instantaneous velocity of the ball equals its average velocity

Q: An object is propelled straight up from ground level with an initial velocity of 80 feet per second.…

A: Given that,  s(t) = -16t2 + 80t We have to find t for which s(t)>64

Q: Suppose a stone is dropped from a height of 100 ft. Its position at time t is s(t) =-6r +100. Find…

A: To find the time t when instantaneous velocity equal to its average velocity.

Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

A: Proceed as shown below...

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A: Put value in function

Q: If an object is dropped from the top of a building, its position in feet above the ground is given…

A: Concept of differentials need to be used here.

Q: A particle that moves along a straight line has velocity v(t) = t'e-2t meters per second after t…

A:

Q: Suppose a ball is dropped from a height of 2500 feet. Its position at time t is s(t) =-9t² + 100.…

A: Given: s(t)=-9t2+100

Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for…

A: Rate of oil production is, D(t) = 3.8e0.04t billions of barrels per year where t is the number of…

Q: Suppose that t years from now, one investment plan will be generating profit at the rate of…

A:

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t)--16t + 100.…

A: This question is related to speed time and distance, We will solve it using given information.

Q: If a ball is thrown into the air with a velocity of 40 fts, its height in feet seconds later is…

A:

Q: If a ball is thrown straight up with a velocity of 40 ft/s, its height (in ft) after t seconds is…

A: y=40t-16t2

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s2, where k is a…

A: use simple velocity,acceration,and distance formula.

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t) = -9t2 + 900.…

A:

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t) = -9t² + 400.…

A:

Q: If a projectile is launched vertically upward from the ground with an initial velocity of 80ft per​…

A:

Q: (a) Suppose a ball is dropped from a height of 300 ft. Its position at time t is s(1)=-16r² + 300.…

A:

Q: Suppose a ball is dropped from a height of 2500 feet. Its position at time t is s(t) = -9t2 + 100.…

A:

Q: ,2_2t A particle moves along a straight line with a velocity v(t) = t²e²¹ meters per second after t…

A:

Q: A moving object has a constant acceleration of -9.8 meters per square second. If its initial…

A:

Q: A moving object has a constant acceleration of -9.8 meters per square second. If its initial…

A:

Q: The acceleration of a particle moving along a horizontal line is given by a(t) = 2t - 2. If particle…

A:

Q: What is the velocity and distance covered in 5 seconds when acceleration is 0.02s^(-7/8)) m/s²,…

A: Given:    a = 0.02s(-7/8)     t = 5 sec

Q: A population of bacteria is growing according to the equation P(t) = 1950e" 10. Estimate when the…

A:

Q: Find a real number a such that the instantaneous rate of change of the function flx) =2x²+ 4x+7 at x…

A:

Q: For time t > 0, a particle moves along the x-axis, its position is given by the function s(t) = -t*…

A:

Q: A population of bacteria is growing according to the equation P(t)=1350e^0.11t Estimate when the…

A: Substitute P(t)=2418 into the equation Pt=1350e0.11t and solve for t:…

Q: Suppose a ball is dropped from a height of 900 feet. Its position at time t is s(t) = -16t + 100.…

A:

Q: A population of bacteria is growing according to the equation P(t)=850e0.22tP(t)=850e0.22t. Estimate…

A:

Q: If a rock is dropped from a 200 ft building, its posi- tion (in feet above the ground) is given by…

A: Given-  st=-16t2+200, where t is the time in seconds since it was dropped. To Find- (a) The velocity…

Q: A particle moves along the x-axis so that at time t ≥ 0, its position is given by x(t) = 2t3 - 3t2.…

A: V(t) = d[x(t)]/dt Put, v(t) > 0.

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t) = –16t2 + 900.…

A:

Q: A particle is moving on the x-axis and the position of the particle at time t is given by x (t),…

A:

Q: Suppose a stone is dropped from a height of 200 ft. Its position at time t is s(t) =-12r +200. Find…

A: To find the time t when instantaneous velocity equal to average velocity.

Q: Suppose a ball is dropped from a helght of 200 ft. Its position at time t is s(t)=-16t²+200. Find…

A: Answer

Q: The number of traffic accidents per year in a city of population p is predicted to be T 0.002p ³/2.…

A:

Q: A company determines that its total cost, in thousands of 3x rands, for producing x items is C =…

A:

Q: A sample of 300g of lead-210 decays to polonium-210 according to the function given by A(t)=…

A: A sample of 300g of lead-210 decays to polonium-210 according to the function given by A(t)=…

Q: Suppose a ball is dropped from a height of 900 feet. Its position at time t is s(t) instantaneous…

A: I am attaching image so that you understand each and every step.

Q: Suppose a ball is dropped from a height of 1600 ft. Its position at time is s(t)=-16t^2+1600. Find…

A:

Q: If the position of a particle on the x-axis at time t is-5t", then the average velocity of the…

A:

Q: A bacterial colony is rapidly expanding. It has 10 bacteria at time t=0 and 2000 bacteria at time…

A: As per our guidelines we only solve first question and rest of the question will be reposted.

Q: Suppose a ball is dropped from a height of 4900 feet. Its position at time t is s(t) = –16t2 + 900.…

A:

Q: The population of a city (in millions) at time t (in years) is P(t)=2.8e0.008t, where t=0 is the…

A: Given data:   The expression for the given population at any time t is: P(t)=2.8e0.008t.     The…

Q: A stone is thrown vertically into the air at an initial velocity of 71 ft/s. On a different planet,…

A:

Q: Suppose a stone is dropped from a height of 300 ft. Its position at time t is s(t)=-121² +300. Find…

A:

Q: Suppose a ball is dropped from a height of 2500 feet. Its position at time t is s(t) = -9t2 + 900.…

A:

Q: If a ball is thrown into the air with a velocity of 40ft/s, its height (in feet) after t seconds is…

A: Consider the given question,The distance(y) equation is given as,

Q: A ball is thrown upward so that its height above the ground after time t is h(t) = 20t-5t, where h…

A: Given is : We have to find time when h(t) or height will be maximum And for height , function is :…