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.
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 project...
8. A projectile is fired upward with an initial velocity of 100 ft/sec. The formula for position of an after t seconds is given by f() = -161? +1001 +5. a. Find the maximum height of the projectile. b. At what time is the maximum height reached?
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.
Solve the following using the 5-step process If a projectile is launched upward with an initial velocity of 192 of feet/sec from the top of a building that is 480 feet tall, then its height, h, t seconds after being thrown will be h(t) = -1682 +192 t + 480 During what time interval will the projectile be at least 32 feet above the ground? Instructions: Round your answers to the nearest whole number 14 The projectile will be above...
A projectile is fired upward from the ground with an initial velocity of 760 feet per second. Assume that the height of the projectile at any time t can be described by the polynomial function PO = - 161? + 7601. Answer parts (a) through (1) a. What is the height of the projectile at t= 3 seconds? b. What is the height of the projectile at t= 6 seconds? ft c. What is the height of the projectile att...
show work
4. Suppose a stone is launched vertically upward with initial velocity 32 ft/sec from a height of 48 ft above ground. After t seconds its height is given by s(t) = -16t2 + 32t + 48 At the time when the stone hits the ground it is moving with a speed of A. 32 ft/s B. 24 ft/s C. 64 ft/s D. 48 ft/s E. 96 ft/s
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...
A rock is projected directly upward from ground level with an initial velocity of 90 ft per sec. The function in height of the rock in terms of time t is f (t) = −???? + ???. Find time t at which the rock reaches its maximum height and the maximum height in feet. Round answers to two decimal places, if necessary.
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.
if an object is thrown vertically upward with an initial
velocity of v, from an original position of s, the height h at any
time t is given by:
h = -16t^2 + vt + s
If an object is thrown vertically upward with an initial velocity of v, from an original position of s, the height h at any time t is given by h16t2 +vt+s (where h and s are in ft, t is in seconds and v...
Fill in the Blanks A golf ball is projected upward from ground level at an initial velocity of 112 ft/sec. The height of a projectile can be modeled by s(t) = -16t+ vot + So, where t is time in seconds, So is the initial height in feet, and Vo is the initial velocity in ft/sec. a. How high will the ball be after 2 sec? O feet b. What is the maximum height the ball reaches? O feet c....