An object is thrown downward, with an initial speed of 16 ft/s, from the top of a building 192 ft high. How many seconds later will the object hit the ground? Use the equation d = vt + 16t2, where dis the distance in feet, v is the initial speed, and t is the time in seconds. s

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

A:

Q: The height of an object thrown upward with an initial velocity of 32 feet per second is given by the…

A:

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: Penelope is A years old, and Odie is B years old. Odie is just 2 years short of being 3 times…

A: we have to find

Q: The number of gallons of water, W, used when taking a shower varies directly as the time, t, in…

A:

Q: U 11. Solve for x 165.5 23x + 9 V. 900

A:

Q: Two passengers leave the airport at Kansas City, Missouri. One flies to Los Angeles, California, in…

A: Let speed of the plane to Los Angeles= x mphSo,  speed of the plane to New York City= (x+22) mph

Q: The space probe Cassini has engines which can al low it to travel at 72,000 km/hr. However,…

A:

Q: Solve for x. S. (14X- 15)- T. 139° V

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

A:

Q: A study found that a student’s GPA, g, is related to the number of hours worked each week, h, by the…

A: g=-0.0006h2+0.015h+3.04 Put g=2.97 in g=-0.0006h2+0.015h+3.04, we get…

Q: a car left xanadu at 6:45 h and arrived in zenoland at 7:05 h. it travelled at an average speed of…

A: Given that  a car left xanadu at 6:45 h and arrived in zenoland at 7:05 h. it travelled at an…

Q: The velocity, v, of a falling object varies directly to the time, t, the object is falling. After 3…

A: Follow the procedure given below.

Q: A diver was 5 feet below sea level. He dove deeper at a rate of 5 3/8 feet per minute. What was the…

A:

Q: ydx-rdy 22+y? Solve dx

A:

Q: Solve for the value of t. 97° (8t+1)°

A: a) Given

Q: Solve for the specified variable  : vt + gt2 = s for g

A: Given: vt+gt2=s we have to solve given equation for variable g so, we do transportation of terms and…

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: 9(10*-2) = 34. %3D

A:

Q: Solve for x. e -2x = 17. Round your answer to 3 decimal places.

A: We know that 1):  ln(e^(a.x))=a.x 2): ln(17)=2.833

Q: A car is depreciating according to the formula V= 50,000 (3.20)-0.05x where X is the age of the car…

A: The given formula of depreciation of a car is,

Q: Given f(x)=250 e0.07x , solve f'(x)=130

A: The derivative for the function is calculated.

Q: The formula for throwing a baseball in the air is represented by h(t) = -16t + 12t + 40 where h(t)…

A:

Q: Solve for x: 2log,5(x)+4=3. Round your answer to 3 decimal places.

A:

Q: Yeosang walked to his friend’s house with an average speed of 90.0 m/min. The distance between the…

A: Solve the following

Q: e same time that Dana is 5 mph more than Da

A: Speed , distance and Time: Speed=distancetime=dt Chuck travel 330 miles in the time it takes Dana to…

Q: What is the height of a projectile in 2 seconds if its initial height is 500 ft, and it has a…

A:

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

A: Consider the given equation. −16t2+80t+50=114 Simplify the equation.…

Q: Find x: 55° L H E 60° F G 5x+15

A: According to question We have to calculate the x

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: The height of an object tossed upward with the initial velocity of 120 ft./s is given the formula H=…

A: To determine: The time required for the object to return to its point of departure, where the height…

Q: When an object is dropped from a height of h feet, the time it will take to hit the ground can be…

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: sally drove 500 mi. in 10 hours. Find her average speed using d = rt.

A:

Q: A firework rocket is shot upward at a rate of 609 ft/sec. Use the formula h =-16t^ 2 +v 1 t to…

A:

Q: Solve the DE

A:

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

A:

Q: dx х4—16

A:

Q: A ball is tossed into the air at 20 feet per second from a height of 6 feet. How long will it take…

A: It is given that the initial speed of ball is 20ft/sec and the initial altitude of the ball is 6ft.…

Q: Solve for the missing variable in the formula.  d=rt (distance formula); d= 84, t= 28 r= ?

A:

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: It takes a train 15 hours to travel from Chicago to New York City and the distance traveled by the…

A: distance =800 miles time = 15 hours average speed = s

Q: A firework rocket is shot upward at a rate of 702 ft/sec.  Use the formula h = -16t2 + v0t to…

A: Given:    h = 1200    v0 = 702     h = -16 t2 + v0t

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: ves Hibbing traveling west at 52 mph and another car leaves Hibbing at the same ng east at 65mph.…

A:

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

A:

Q: You run along a path at a constant speed of 4.7 mph. How far do you travel in 1.7 hrs? In 3.8 hours?

A: The given speed is 4.7 mph. Evaluate the distance travelled in 1.7 hours as follows. Therefore, the…

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: The height of a projectile fired upward is given by the formula sot 16t2, where s is the height in…

A: The formula represents the height of a projectile fired upward is, ile fired upward is,

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.