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...
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.
An object is thrown upward at a speed of 194 feet per second by a machine from a height of 6 feet off the ground. The height hh of the object after tt seconds can be found using the equation h(t)=−16t2+194t+6h(t)=-16t2+194t+6 When will the height be 522 feet? (Write both results, using a comma between). Round answers to the nearest hundredth. When will the object reach the ground?