Show all work or no credit will be given. 1. The height of a ball (in...
ht=-4.9t2+4.2t this function Luar1118 auuvily 2. Ivivuuiu v Name Date Show all work or no credit will be given. 1. The height of a ball (in meters) above the ground after seconds is modeled by the following function: A) Find the vertex of the function. B) Explain what each coordinate means in terms of the graph.
If a ball is thrown upward at 49 meters per second from the top of a building that is 35 meters high, the height of the ball can be modeled by S = 35 + 49 - 4.912, where t is the number of seconds after the ball is thrown. Answer parts a through c a. Find the t-coordinate and S-coordinate of the vertex of the graph of this quadratic function. The t-coordinate of the vertex of the graph of...
The following function gives the height h meters, of a batted baseball as a function of the time, t seconds, since the ball was hit. h(t)=-4.5^2+13.5t+5.875 or https://i.gyazo.com/a83bb3b851c332dadc76e2462313605f.png A. What is the physical significance of the 5.875 for this situation? Prove this is true.B. Determine the following characteristics: axis of symmetry, direction of opening, t and h intercepts, vertex, minimum/maximum.Hint: Write in standard form.C. Graph the model with all approapriate labels and restrictions. D. At what time does the ball hit the ground? E. What is the...
You throw a ball straight up from a rooftop. The ball misses the rooftop and eventually strikes the ground A mathematical model can be used to describe the relationship for the ball's height above the ground, y. after x seconds. x, seconds after the ball is y, ball's height, in feet, above the ground 289 271 214 on its way down thrown 3 4 2 a. Find the quadratic function y= - ax +bx + c whose graph passes through...
The height of a helicopter above the ground is given by h = 2.90t3, where h is in meters and t is in seconds. At t = 1.80 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground? Please show how to solve this step by step and explain clearly and neatly
a ball is shot straight up into the air and its height above the ground (in feet) after t seconds is modeled by the functions s(t)=-16t+127t+8. determines the instantaneous velocity of the ball two seconds before it hit the ground 9(x) = -1x – 2+4.
show clear work plz A ball is thrown upward from a height of 1000 feet above the ground, with an initial velocity of 80 feet per second. From physics it is known that the acceleration at time t is a(t) = -32 feet per second squared. Use antiderivatives to find s(t), the function giving the height of the ball at timet.
1. A ball is dropped for the upper observation deck of a tower 450 meters above the ground. Its position above the ground at time t seconds since it was dropped is given by the funtion ?(?) =−4.9?2 + 450. A. What is the average velocity of the ball over the first three seconds? B. What is the velocity of the ball 5 seconds after it was dropped? c. How fast was the ball traveling when it hits the ground?...
Tiger Woods hits a golf ball with an initial speed of 48 ft/sec. The height h of the ball in feet as a function of time (in seconds) can be modeled by the function f (t) = –16t² + 480 What is the height of the ball at 1 second? Enter only the number into the box. 32 feet How many seconds will it take the golf ball to hit the ground? Enter only the number into the box. seconds
The height of a ball thrown vertically upward from a rooftop is modelled by y=-5t^2+20t+50 , where h(t) is the ball's height above the ground , in meters , at time t seconds after the throwa) Determine the max height of the ballb) how long does it take for the ball to reach its max heightc) How high is the rooftop