the height in feet of a flare t seconds after it is shot is modeled by h(t)= -16t2+92t+3.5 find its average speed from 1 to 3 seconds
An arrow is shot into the air and its height in feet after I seconds is given by the function f(t) = -16° + 128r. Estimate the instantaneous velocity at I = 5 seconds using difference quotients with h = 0.1, 0.01 and 0.001. If necessary, round the difference quotients to no less than six decimal places and round your final answer to the nearest integer 3x - 2 F(x) = 2 – 9x
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 projectile is thrown upward so that its distance, in feet, above the ground after t seconds is h= -16t2+608t. What is its maximum height?
1. (10 pts: 4, 2, 4) If a ball is dropped from a height 500 feet, its height in feet after t seconds is given by h(t) = 500-16t2. Include the proper units, in your solution. (a) Find the average velocity of the ball over the time interval 1 sts3. (b) Complete the definition of the derivative The derivative of a function f at a number a, denoted by f'(a), is defined as f'(a) (c) Use the limit definition of...
If an object is propelled upwards from a height of 128 feet at an initial velocity of 112 feet per second, then its height h (in feet) after t seconds is given by the equation h(t) = -16t2 +112t +128 a) When does the object reach its maximum height? Determine answer analytically. b) What is the object's maximum height?
An object is thrown upward at a speed of 161 feet per second by a machine from a height of 8 feet off the ground. The height h of the object after t seconds can be found using the equation h(t) = 16t2 + 161t + 8 When will the height be 67 feet? (Write both results, using a comma between). Round answers to the nearest hundredth. Select an answer Select an answer ict reach the ground? seconds 1 answer...
6-An arrow is shot straight up into the air. Its height h (in feet) at any time can be determined by the function h(t) = 128 – 16t. (6 pts.) a) What is the maximum height attained by the arrow? b) How many seconds does the arrow take to reach a height of 192 feet? eps
A water balloon is shot into the air so that its height h, in metres, after t seconds is h = —4.9t^2 + 27t + 2.4 a)How high is the balloon after 1 s? b)For how long is the balloon more than 30 m high? c)What is the maximum height reached by the balloon? d)When will the balloon hit the ground?
8) The height of a projectile moving vertically is given by the table, where t is the elapsed time in seconds and h is the height in feet. t 0 1 2 3 4 h 800 2084 3336 4556 5744 6900 If the height is modeled by h(t) = -16t2 + vot + ho, where V, and ho are the velocity and height at t = 0, respectively, find vo
A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is given by the function () - 162? + 3021 5. Find its velocity 0.9 seconds after it is launched Its velocity is If necessary, round to two decimal places. Do not include units.