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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,...
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 ) =...
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.
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
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...
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...
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 =...
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...
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...
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...
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
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
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
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