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3. A rocket is launched straight into the air with initial velocity...
A toy rocket is launched upward with an initial velocity of 64ft/s from a platform that...
A toy rocket is launched upward with an initial velocity of 64ft/s from a platform that is 80ft. above the ground. The acceleration of the rocket is a(t) = -32ft. Find the height of the rocket after t seconds. When does it hit the ground? Use calculus methods to solve the problem.
Motion in one dimension: In 2014, Orbital Sciences launched a private rocket into space to resupply...
Motion in one dimension: In 2014, Orbital Sciences launched a private rocket into space to resupply the International Space Station. Unfortunately, because of Orbital Sciences’s decision to use 1960s era rocket engines that they purchased from an old Russian warehouse, the launch was a failure. If 95 seconds elapsed between the time the rocket was launched and the rocket hit the ground, calculate the maximum height of the rocket. Calculate the initial and final velocity of the rocket. While the...
A model rocket is launched straight up from ground level with an initial velocity of 96...
A model rocket is launched straight up from ground level with an initial velocity of 96 feet per second. Its height, in feet, after t seconds is given by the equation s(t)=-16t2+96t. At what time(s) will it reach a height of 80 feet? b. After how many seconds will it return to the ground? Question(s) a. and b. should also be answered in sentence form. In addition to showing the calculations that lead to your solution, write a synopsis of...
A small rocket having an initial weight of 3000 lb (including 2400 lb of fuel), and...
A small rocket having an initial weight of 3000 lb (including 2400 lb of fuel), and initially at rest, is launched vertically upward. The rocket burns fuel at a constant rate of 80 lbs, which provides a constant thrust, T, of 8000 lb. The instantaneous weight of the rocket is w(t) = 3000 - 80t lb. The drag force, D, experienced by the rocket is given by D = 0.005g(dy/dt)^2 lb, where y is distance in ft, and g =...
A model rocket is launched straight up from ground level with an initial velocity of 96...
A model rocket is launched straight up from ground level with an initial velocity of 96 feet per second. Its height, in feet, after t seconds is given by the equation 2 s t t t ( ) 16 96 . a. What is the model rocket’s maximum height and when in its flight does it reach this point? b. At what time(s) will it reach a height of 80 feet? c. After how many seconds will...
A projectile is launched straight up from ground level with an initial velocity of v0 per...
A projectile is launched straight up from ground level with an initial velocity of v0 per sec. Neglecting air resistance, its height in feet, s, after t seconds after launch is given by the equation s = –16t2 + v0t. At what time(s) will the projectile reach a height of 112 feet when v0 = 96 feet/sec? After how many seconds will it return to the ground when v0 = 96 feet/sec?
A model rocket is launches upward with an initial velocity of 160 feet per second
A model rocket is launches upward with an initial velocity of 160 feet per second. The height, in feet, of the rocket t seconds after the launch is given by h=-16t^2+160t. How many seconds after the launch will the rocket be 290 feet above the ground? Round to the nearest tenth of a second.
a toy rocket is launched from the top of a building 50 ft
a toy rocket is launched from the top of a building 50 ft. tall at an initial velocity of 90 ft per second. Let t represent the amount of time elapsed after the launch. Solve. the answer is y= -16x2 + 90x + 50 How did the get the -16x squared??
If the projectile is launched at a launching angle theta, with an initial velocity Vo from...
If the projectile is launched at a launching angle theta, with
an initial velocity Vo from a height of Yo above the table top, how
long does it take the projectile to fall on the table top? Now that
your Voy is no longer zero, so you must use the quadratic equation
to solve for t. Express the time in terms of g,Yo,Vo, and theta,
make sure that your y-direction is fixed.
t=
How far would it travel? Express in...
A model rocket is launched straight up. After 3 seconds it runs out of fuel. It...
A model rocket is launched straight up. After 3 seconds it
runs out of fuel. It continues upward but eventually falls straight
back down. It’s height is recorded every 0.5 seconds.
what is the velocity of the rocket at the instant when it hits
the ground on the way down?
The ANSWER IS NOT -165 ft/sec
10 I.s 23.5 51.4 90.0 400 ฉ 99.5 261.0 314.5 360.0 397.5 2000 448.5 462.0 467.5 150.0 1000 500 8.0 454.5 436.0 409.5 375.0...
A toy rocket is launched upward with an initial velocity of 64ft/s from a platform that is 80ft. above the ground. The acceleration of the rocket is a(t) = -32ft. Find the height of the rocket after t seconds. When does it hit the ground? Use calculus methods to solve the problem.
If the projectile is launched at a launching angle theta, with
an initial velocity Vo from a height of Yo above the table top, how
long does it take the projectile to fall on the table top? Now that
your Voy is no longer zero, so you must use the quadratic equation
to solve for t. Express the time in terms of g,Yo,Vo, and theta,
make sure that your y-direction is fixed.
t=
How far would it travel? Express in...
A model rocket is launched straight up. After 3 seconds it
runs out of fuel. It continues upward but eventually falls straight
back down. It’s height is recorded every 0.5 seconds.
what is the velocity of the rocket at the instant when it hits
the ground on the way down?
The ANSWER IS NOT -165 ft/sec
10 I.s 23.5 51.4 90.0 400 ฉ 99.5 261.0 314.5 360.0 397.5 2000 448.5 462.0 467.5 150.0 1000 500 8.0 454.5 436.0 409.5 375.0...
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