The path of a missile is given by h(t) = -16t² +64t + 256, where h(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.
If an object is projected upward with an initial velocity of 48 ft pe second from a height h of 160 ft, then its height t second after it is projected is defined by the equation h= -16t 2 + 48t + 160. How many seconds after it is projected will it hit the ground?
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 the time elapsed in seconds (a) After how many seconds does the object strike the ground? (b) What is the average velocity of the object from t- o until it hits the ground? (c) Find the instantaneous velocity of the object after I second ft/sec Find the instantaneous velocity of the object after 2 seconds. ft/sec...
the height , h(t) in metres of the trajectory of a football is given by h(t) = 2+28t-4.9t^2, where t is the time in flight, in seconds . Determine the maximum height of thefootball and the time wehn the height is reached
22. For the following equation of the path of a rocket h ( t ) = − 9.8 t 2 + 78.4 t + 196, where height, h, is measured in meters and time, t, is measured in seconds, what is the height from which it was launched (t=0)? 23.For the following equation of the path of a rocket h ( t ) = − 9.8 t 2 + 78.4 t + 196, where height, h, is measured in meters...
A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=104t-16t^2 .After how long will it reach its maximum height? Do not round your answer.
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 a ball is thrown directly upward with a velocity of 80ft/s, its height (in feet) after t seconds is given by y=80t-16t^2. What is the maximum height attained by the ball?
show work 10,11,12 cancell question 13. A stone is launched upward from a cliff 192 ft above the ground at a speed of 64 ft/s. Its height above the ground t seconds after the launch is given by h-1612 +64t+192 for 0s1s6. when does the stone reach its maximum height? c) 4.5s d) 192s a) 1s b) 2s 14. You travel the 348 miles from Miami to Jacksonville, without stopping, in 6 hours. According to the Mean Value Theorem, at...
the velocity of a particle is given by v=[16t^2i+4t^3j +(5t+2)k]m/s, where t is in seconds. If the particle is at the origin when t=0, determine the magnitude of the particle's acceleration when t=2s. What is the x,y,z coordinate position of the particle at this instant.