Question

h of t equals, negative 16, t squared, plus 48, t, plus 72 If air resistance...

h of t equals, negative 16, t squared, plus 48, t, plus 72 If air resistance is ignored, the function h defined above models the height above ground, in feet, of a toy rocket t seconds after it is launched from the roof of a building. Based on the model, what is the height above ground, in feet, of the toy rocket 1 second after launch?

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Given function ,

If  air resistance is ignored, the function h defined above models the height above ground, in feet of a toy rocket t seconds after it is launched from the roof of a building .

so based on the model the height above ground 1 second after launch is ,

Hence ,

height above ground, in feet, of the toy rocket 1 second after launch is .

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A model rocket is launched with an initial velocity of 180 ft/s. The height, h, in...
A model rocket is launched with an initial velocity of 180 ft/s. The height, h, in feet, of the rocket t seconds after the launch is given by h = ?16t2 + 180t. How many seconds after launch will the rocket be 350 ft above the ground? Round to the nearest hundredth of a second. _____s (smaller value) _____s (larger value)
An object is dropped from the roof of a building of height h. Neglect air resistance....
An object is dropped from the roof of a building of height h. Neglect air resistance. During the last 0.61 s of its fall, the object drops a distance h/3 before hitting the ground. What is h in meters?
From the roof of the Empire State Building, you throw a coin up in the air...
From the roof of the Empire State Building, you throw a coin up in the air and then watch it fall down, down, down to the street. The height of the coin (in feet) after tt seconds is given by h(t)=-16t^2+100t+1250h(t)=−16t2+100t+1250. After 12.512.5 seconds, the coin hits the street. How fast is the coin moving when it hits the street?
A ball is thrown into the air from an upstairs window and its height, h, in...
A ball is thrown into the air from an upstairs window and its height, h, in feet t seconds after it is thrown is given by the equation: h = –( t^2 – 8t – 20) a. What is the maximum height that the ball reaches? You can check your answer with a graphing utility, but first try to determine your answer without the graph by rewriting the equation in vertex form and using the information in the rewritten form....
Problem 1. The function h = f(t) = 90 − 5(t − 2)2 , 0 ≤...
Problem 1. The function h = f(t) = 90 − 5(t − 2)2 , 0 ≤ t ≤ 6, gives the height of a rock (in meters) at time t seconds after being launched straight up from the edge of a cliff. (a) Sketch an accurate graph of the function h = f(t). Label the axes with the appropriate variable names and units. Label the curve with its equation. (b) Find a function g that expresses the time t when...
1.)You are hitting baseballs. When you toss the ball into the air, your hand is 5...
1.)You are hitting baseballs. When you toss the ball into the air, your hand is 5 feet above the ground (see figure). You hit the ball when it falls back to a height of 3.5 feet. You toss the ball with an initial velocity of 20 feet per second. The height h of the ball t seconds after leaving your hand is given by h = 5 + 20t ? 16t2. How much time will pass before you hit the...
A streamlined and compact projectile is launched from flat ground on a valley toward a distant...
A streamlined and compact projectile is launched from flat ground on a valley toward a distant hillside at an Army testing ground in Nevada. The projectile’s initial speed is vi = 150. m/s as it leaves the cannon. The initial angle of launch θi of the projectile is unknown. The projectile makes impact high on the distant hill a time t = 3.00 s after its departure. From GPS sensors we know that the site of impact is a straight-line...
A student throws a water balloon with speed v0 from a height h = 1.64 m...
A student throws a water balloon with speed v0 from a height h = 1.64 m at an angle θ = 29° above the horizontal toward a target on the ground. The target is located a horizontal distance d = 8.5 m from the student’s feet. Assume that the balloon moves without air resistance. Use a Cartesian coordinate system with the origin at the balloon's initial position. Part (a) What is the position vector, Rtarget, that originates from the balloon's...
A streamlined and compact projectile is launched from flat ground on a valley toward a distant...
A streamlined and compact projectile is launched from flat ground on a valley toward a distant hillside at an Army testing ground in Nevada. The projectile’s initial speed is vi = 150. m/s as it leaves the cannon. The initial angle of launch θi of the projectile is unknown. The projectile makes impact high on the distant hill a time t = 3.00 s after its departure. From GPS sensors we know that the site of impact is a straight-line...
A streamlined and compact projectile is launched from flat ground on a valley toward a distant...
A streamlined and compact projectile is launched from flat ground on a valley toward a distant hillside at an Army testing ground in Nevada. The projectile’s initial speed is vi = 150. m/s as it leaves the cannon. The initial angle of launch θi of the projectile is unknown. The projectile makes impact high on the distant hill a time t = 3.00 s after its departure. From GPS sensors we know that the site of impact is a straight-line...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT