5. Abaseball is hit into the air. The equation h(t) = -166² +966+3 represents the height...
Andre hit a golf ball from the ground and its movement follows the equation h(t-16+ 56t, where t is the time in seconds, and h(t) is the height of the ball at a given time t Find the time that it took the golf ball to hit the ground again correct to two decimal places. seconds
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...
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...
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?
Find the equation of the following graph. Leave your answer in factored form. 7. A rock is thrown into the air. The height (in fieet) of the rock after t seconds is given by h-16r2 +64r. Answer the following algebraically a) What is the height reached by the ball after I second? b) Determine the maximum height the rock attains c) How long it will take to reach maximum height. d) When does the rock hit the ground? 89
A ball is launched into the air from below a cliff, such that after t seconds its height above the cliff top is h metres, and is given by the equation h 4.9t219.6t -9.6 Calculate, to the nearest metre, the maximum height the ball achieves above the cliff top Enter your answer below, as a number without units.
The pathway of a ball thrown in the air is modelled by the equation 5y = - 4x2 + 40x, where y represents the ball's height in metres after x seconds. The ball will reach its highest point at the vertex. a) Solve the equation - 4x² + 40x = 0 and hence find when the ball strikes the ground. (b) Find the vertex of your equation. c) Graph your function. (d) Find the maximum height that the ball will...
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.
in such a way that its height, h meters after t seconds is given by the equation h.-49%28 7t +42 How Atoy rocket i launched froma 42 high plat ong will it take for the rocket to hit the ground? The toy rocket will hit the ground after approximately □ seconds Type an integer or a decimal Round to the nearest hundredth as needed)
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