The initial velocity, v0 = 200 ft/sec and the initial height is h0 = 0 (since it is launched from the ground). Formula: h = -16t2 + 200t + 0. a. Replace h with 336 and solve. 336 = -16t2 + 200t 16t2 - 200t + 336 = 0 8(2t2- 25t + 42) = 0 8 2t - 21)(t - 2) = 0 2t - 21 = 0; 2t = 21; t = 10.5 sec. t - 2 = 0; t = 2 sec.
http://mathbitsnotebook.com/Algebra1/Quadratics/QDprojectilemotion.html
There is a direct relationship between gravitational acceleration and the downwards force (weight) experienced by objects on Earth, given by the equation F = ma (force = mass × acceleration). However, other factors such as the rotation of the Earth also contribute to the net acceleration.
https://en.wikipedia.org/wiki/Gravity_of_Earth
Projectile motion is a form of motion in which an object or particle (called a projectile) is thrown near the earth's surface, and it moves along a curved path under the action of gravity only. The only force of significance that acts on the object is gravity, which acts downward to cause a downward acceleration. There are no horizontal forces needed to maintain the horizontal motion – consistent with the concept of inertia.
https://en.wikipedia.org/wiki/Projectile_motion
Gravity decreases with altitude as one rises above the Earth's surface because greater altitude means greater distance from the Earth's centre. All other things being equal, an increase in altitude from sea level to 9,000 metres (30,000 ft) causes a weight decrease of about 0.29%.
https://en.wikipedia.org/wiki/Gravity_of_Earth
The acceleration due to gravity is -9.8 meters/sec/sec. The formula to model the height of an object t seconds after it has been dropped is: A model rocket is launched straight upward. The solid fuel propellant pushes the rocket off the ground at an initial velocity of 200 feet per second.
http://mathbitsnotebook.com/Algebra1/Quadratics/QDprojectilemotion.html
The gravity of Earth, which is denoted by g, refers to the acceleration that the Earth imparts to objects on or near its surface due to gravity. In SI units this acceleration is measured in metres per second squared (in symbols, m / s 2 or m·s −2) or equivalently in newtons per kilogram (N/kg or N·kg −1).
https://en.wikipedia.org/wiki/Gravity_of_Earth
Objects that are thrown: If an object is thrown, a certain amount of initial velocity accompanies its launch. Now, we have a reason to use that middle term from the General Formula (seen above). We will continue to use h to represent the height and h0 to represent the initial (starting) height.
http://mathbitsnotebook.com/Algebra1/Quadratics/QDprojectilemotion.html
If the Earth had a constant density ρ, the mass would be M(r) = (4/3)πρr3 and the dependence of gravity on depth would be. g at depth d is given by g'=g(1-d/R) where g is acceleration due to gravity on surface of the earth, d is depth and R is radius of Earth.
https://en.wikipedia.org/wiki/Gravity_of_Earth
Since there is only acceleration in the vertical direction, the velocity in the horizontal direction is constant, being equal to. The vertical motion of the projectile is the motion of a particle during its free fall. Here the acceleration is constant, being equal to.
https://en.wikipedia.org/wiki/Projectile_motion
The horizontal component of the velocity of the object remains unchanged throughout the motion. The vertical component of the velocity increases linearly, because the acceleration due to gravity is constant.
https://en.wikipedia.org/wiki/Projectile_motion
what is the acceleration of an object at its maximum height
The acceleration of an object at its maximum height is minus 9.8 meters per second.