The solution is as follows. First find the final velocity. Second use the final velocity to find the time.
(final velocity squared) = (initial velocity squared) + 2gh
(vf)^2=(vi)^2+2gh
(vf)^2=(30ft/s)^2+2(32ft/s^2)(80ft)
(vf)^2=900(ft/s)^2+5120(ft/s)^2=6028(ft/s)^2
taking the square root yields
vf=77.59(ft/s)
The final velocity and the time are related by the equation vf=vi+gt, rearranging
t=(vf-vi)/g
t=[77.59(ft/s)-30(ft/s)]/32(ft/s^2=47.59(ft/s)/32ft/s^2=1.49s You can check the answer as follows:
h=vi(t)+(1/2)gt^2
h=30(ft/s)(1.49s)+(1/2)(32(ft/s^2)(1.49s)^2
h=44.7ft+16(ft/s^2)[2.22s^2)
h=44.7ft+35.7ft=80.2ft
which is equivalent to the 80 ft in the original problem except for rounding errors. Note: the notation here is awkward but I haven't found an equation editor iw Wiki.
h^2 means h squared
ft/s^2 means feet per second squared
No. What counts in this case is the vertical component of the velocity, and the initial vertical velocity is zero, one way or another.
The height, in feet, above the ground at time t, H(t) = 40 + 32*t - 16*t2
Get the value of initial velocity. Get the angle of projection. Break initial velocity into components along x and y axis. Apply the equation of motion .
At any time 't' seconds after the ball is released,until it hits the ground,h = 5 + 48 t - 16.1 t2
4ft*Ns=H
To find the initial velocity of the kick, you can use the equation for projectile motion. The maximum height reached by the football is related to the initial vertical velocity component. By using trigonometric functions, you can determine the initial vertical velocity component and then calculate the initial velocity of the kick.
To answer this question one would need to know the rock's initial height and velocity.
initial velocity, angle of launch, height above ground When a projectile is launched you can calculate how far it travels horizontally if you know the height above ground it was launched from, initial velocity and the angle it was launched at. 1) Determine how long it will be in the air based on how far it has to fall (this is why you need the height above ground). 2) Use your initial velocity to determine the horizontal component of velocity 3) distance travelled horizontally = time in air (part 1) x horizontal velocity (part 2)
The height attained by an object projected up is directly proportional to the square of its initial velocity. So, if an object with initial velocity v attains a height h, then an object with initial velocity 2v will attain a height of 4 times h.
Increasing the initial velocity of a projectile will increase both its range and height. Higher initial velocity means the projectile will travel further before hitting the ground, resulting in greater range. Additionally, the increased speed helps the projectile reach a higher peak height before it begins to descend back down.
No. What counts in this case is the vertical component of the velocity, and the initial vertical velocity is zero, one way or another.
height=acceletation(t^2) + velocity(t) + initial height take (T final - T initial) /2 and place it in for time and there you go
s=u*t +1/2*a*t*t u=32 t=1 a=33 s=48.5 hence height above ground=128-48.5 =79.5 feet
The answer depends on its initial velocity and the height from which its fall to the ground is measured.
initial velocity, angle of launch, height above ground When a projectile is launched you can calculate how far it travels horizontally if you know the height above ground it was launched from, initial velocity and the angle it was launched at. 1) Determine how long it will be in the air based on how far it has to fall (this is why you need the height above ground). 2) Use your initial velocity to determine the horizontal component of velocity 3) distance travelled horizontally = time in air (part 1) x horizontal velocity (part 2)
To determine the maximum height reached by an object launched with a given initial velocity, you can use the formula for projectile motion. The maximum height is reached when the vertical velocity of the object becomes zero. This can be calculated using the equation: Maximum height (initial velocity squared) / (2 acceleration due to gravity) By plugging in the values of the initial velocity and the acceleration due to gravity (which is approximately 9.81 m/s2 on Earth), you can find the maximum height reached by the object.
The height, in feet, above the ground at time t, H(t) = 40 + 32*t - 16*t2