The height h (in feet) of an object falling from a tall building is given by the function h(t) 400 16, where t is t...
If an object is thrown upward with an initial velocity of 64 ft/sec, its height after t sec is given by h = 64t -16t^2. Find the number of seconds the object is in the air before it hits the ground.
In a free-fall experiment, an object is dropped from a height of h = 144 feet. A camera on the ground 500 ft from the point of impact records the fall of the object (see figure). 500 ft Not down to scale (a) Find the position function that yields the height of the object at time t assuming the object is released at time t = 0. h(t) = At what time will the object reach ground level? (Round your...
The stories of a tall building are uniformly 10.0 feet in height. A ball A is dropped from the rooftop position shown. Determine the times required for it to pass the 10.0 feet of the first, tenth, and one-hundredth stories (counted from the top). Include the effects of aerodynamic drag. The drag force causes an acceleration component in ft/sec2 of 0.005v2 in the direction opposite the velocity vector, where v is in ft/sec 10.0 A first floor t = sec...
An object dropped from restfrom the top of a tall building falls y=16t^2 feet in the first t seconds.Find the speed of the object at t=3 seconds and confirmalgebraically. The answer is 96 feet/sec but how do i figure it out? cans omeone show me steps? thanks
The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after 3 sec. (Round your answers to three decimal places.) ft/sec ft/sec2 a(3) The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after...
P. The horizontal distance of a projectile (in feet) is given by x (vo cos e)t, and the height of the projectile is given by y = -16t2 + (vo sin 0)t + yo where vo is the initial velocity, e is the angle of inclination, and yo is the initial height. Suppose an object is propelled upward from the ground at an angle e to the horizontal with an initial velocity of vo ft/sec. a. Find a formula for...
At moment of time t=0 a projectile is fired directly upward with an initial velocity 192 ft/sec, and initial height 200 ft. Find: a)velocity and acceleration after t seconds, (b) velocity when projectile hits the ground, (c) time of travel from the highest point to the ground. Equation of motion is h"= -32, where h(t) is the height of projectile at moment t.
6. The tower of Pisa is 54.5 m tall. Assuming that Galileo dropped his object from rest from the top of the tower and that the effects of air resistance were negligible, how long would it take the object to fall, in seconds? What is the velocity of the object when it hits the ground? 7. A ball is thrown directly downward with an initial speed of 9.50 m/s from a height of 30.0 m. After what time interval does...
A rocket is fired upward from some initial distance above the ground. Its height in feet, h,above the ground, t seconds after it is fired, is given by h= -16t^2+32t+3584. What is the rocket's maximum height? ___ ft How long does it take for the rocket to reach its maximum height? t= ___sec After it is fired, the rocket reaches the ground at t= ___ sec.
10. (1 point) If h(t) represents the height of an object in feet above ground level at time t and h(t) is given by h(t) = -1672 +13t+3 find the height of the object at the time when the speed is zero. The height of the object is h(t) feet. Answer(s) submitted: