A ball is thrown vertically upward from the top of a building 160 ft tall with an initial velocity of 48 feet per second. The distance d (in feet) of the ball from the ground after t seconds is d(t)= 160+48t - 16t2 a) After how many seconds does the ball strike the ground? b)When will the ball reach its maximum height? What is the maximum height of the

Q: An object is launched vertically in the air at 39.2 meters per second from a 4​-meter-tall platform.…

A:

Q: Find the fourth iteration value in finding an extremum (maximum/minimum) value of…

A:

Q: A snowplow has a maximum speed of 45 mph on a dry highway. It's maximum speed decreases by 0.9 mph…

A: The above model can be written in a linear equation of x and y. By substituting y=0, it can be…

Q: The vertical distance covered by a rocket from t = 5 to t = 30 is given by 30 150000 -2000 In 150000…

A:

Q: 10. A six foot tall man is walking toward a 10 foot tall light pole at a speed of two feet per…

A:

Q: The lateral surface area, S, of a cone is given by: S = πr√r²+h² where r is the radius of the base…

A: It is provided that the area: S=πrr2+h2. We need to use the fixed-point method to calculate r when…

Q: The diagram above shows a solid consisting of a cone placed on top of a cylinder with radius 2x cm.…

A:

Q: 4. . A balloon is at a height of 50 meters, and is rising at the constant rate of 5 m/sec. A…

A: Let us consider a right angled triangle  ∆ABC, right angled at B. The height of balloon is h meter…

Q: You are trying to get from point A to point B. Along the dotted path you move at a rate of 3 km/h.…

A: Given problem is :

Q: A plant grows 1.67 cm in its first week. Each week it grows by 2% more than it did the week before.…

A: Just observe that increment of 2% to the original 100% means 102% which is equal to 1.02

Q: 6. Solve (cotx - 1)(2cosx + 1) = 0 where 0° sxs 360°. Show your work. %3D

A:

Q: 5) Sand pouring from a chute forms a conical pile whose height is always equal to the diameter. If…

A: Note: Rate of change of volume of conical pile is equal to rate of change of sand pouring from the…

Q: Water is leaking out of an inverted conical tank at a rate of 7600 cubic centimeters per minute at…

A: Given: Water is leaking out of an inverted conical tank at a rate of 7600 cubic centimeters per…

Q: A train, which is 200 m long, approaches a tunnel, which is 120 m long. The train is moving at a…

A:

Q: A tank initially contains 80 gal of pure water. Brine containing 4 lb of salt per gallon enters the…

A: Given: A tank initially contains 80 gal of pure water. Brine containing 4 lb of salt per gallon…

Q: At the instant the traffic light turns green, a car that has been waiting at an intersection starts…

A:

Q: A Plane (Plane A) travels North at a speed of 800 kph. after 15 minutes, another plane (plane B)…

A: Planes are moving same direction :

Q: Two cars are moving towards an intersection. One car is 190 meters north of the intersection and…

A: dydt=-18 ms (moving towards intersection)dxdt = 19 ms (moving away from intersection)initially at…

Q: A cannonball is fired directly upward from a height of 0 feet with an initial velocity of 208 feet…

A:

Q: A potato is launched vertically upward with an initial velocity of 101 ft/s from a potato gun at the…

A:

Q: A plant grows 1.67 cm in its first week. Each week it grows by 2% more than it did the week before.…

A: It is given that the plant grows 1.67 cm in its first week. Each week the plant grows by 2% more…

Q: Find the fourth iteration value in finding an extremum (maximum/minimum) value of f(x) = 5sin2x -…

A:

Q: maximum height attained by the rocket?

A: Given that: Velocity  = 64 f t /sec. Initial height = 35 feet.

Q: In a football game, a defensive player jumps up to block a pass by the opposing team’s quarterback.…

A: Refer to the Question and note as :- Initial velocity v =-50 feet km second That time height of…

Q: 2. Find an estimate of the root of the equation: 2* + Vx² +5 =20 using regula-falsi method. Ans

A:

Q: 3. Using a powerful air gun, a steel ball is shot vertically upward from the ground with a velocity…

A: Newton's equations are to be used here

Q: A bus is cruising at 40 miles per hour when suddenly the driver notices a deer on the road ahead of…

A: We need to find the stopping distance from the given information.Let s be the stopping distance.

Q: Find the third iteration value in finding an extremum (maximum/minimum) value of f(x) = 5sin2x - 4x…

A: Newton's method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations using the initial…

Q: 17. On a highway with a steep incline, the runaway truck ramp is constructed so that a vehicle that…

A:

Q: The vertical distance covered by a rocket from t = 5 to t = 30 is given by 30 150000 2000 In 9.8t dt…

A: Consider the provided question, x=∫5302000ln150000150000-2100t-9.8tdt                   ......1here…

Q: Numerically integrate f (x) = x³ + 3x? + 4x = 2 using Single-Trapezoidal Rule. 6 from a = 1 and b -…

A: (1) solution

Q: A woman's blood pressurep ranges from a high (the systölic pressure) to a low (the diastolic…

A:

Q: A projectile is launched vertically upward with an initial velocity of 80 ft/sec from the top of a…

A: We first try to write the expression of h(t) in vertex form. So that we can find vertex from…

Q: A ball is thrown downward with a speed of 17 ft/s from the top of a 289-foot-tall building. After t…

A:

Q: Water is leaking out of an inverted conical tank at a rate of 1100011000 cubic centimeters per…

A: Given that, Water is leaking out of an inverted conical tank at a rate of 11000 cubic centimeters…

Q: 4. A father is running west at 5 m/hr and his son is running north at 6 m/hr. Both are headed for…

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

Q: A ball is thrown downward with a speed of 15 ft/s from the top of a 225-foot-tal building. After t…

A: This is application of derivative problem

Q: Numerically integrate f (x) = x° +3x + 4x – 6 from a = 1 and b = 2 using Single-Trapezoidal Rule…

A:

Q: 1. An arrow is shot up vertically from the surface of the moon with initial velocity of 20 m/ , its…

A: We solve problems of calculus.

Q: A quadratic equation x--4x+43D0 is defined with an initial guess of 10 and 20. Find the approximated…

A:

Q: Need help with entirety of the problem

A:

Q: A leaky 10-kg bucket is lifted from the ground to a height of 12m at a constant speed with a rope…

A:

Q: 6. At the instant the traffic light turns green, a car that has been waiting at the intersection…

A:

Q: A ball is thrown downward with a speed of 14 ft/s from the top of a 196-foot-tall building. After t…

A:

Q: 4) A cat is running straight toward a 20 foot tall brick wall at a rate of 4 feet per second.…

A: Consider the provided information, y=25 feeth=4 feetdxdt=20

Q: If a ball is thrown vertically upward with a velocity of 80 ft/s, then its height after tseconds is…

A: Given that, The ball height after t seconds is, s=80t-16t2 (a) The maximum of any function occurs at…

Q: Find the fourth iteration value in finding an extremum (maximum/minimum) value of              f(x)…

A:

Q: 4. Use your figure to study the sign of vr(t) in the time interval [-4 : 4]. Does vr(t) have any…

A: Given voltage potential v(t) is, vt=0.250t4+0.166t3-0.500t2                   .......1 and the…

Q: A ball is thrown downward with a speed of 13 ft/s from the top of a 169-foot-tall building. After t…

A: Basic quadratic equation and derivative are to be calculated

Q: 6) A cat is running straight toward a 8 foot tall brick wall at a rate of 4 feet per second.…

A: