
at what poins in its path projectile has minimum and maximum speeds

A projectile follows a parabolic path whose height, in meters, is given by the function f(x) =x^+2x+2, find the maximum horizontal distance that the projectile may cover

A projectile is fired with an initial velocity of 350 feet per second at an angle of 45° with the horizontal. To the nearest foot, find the maximum altitude of the projectile. The parametric equations for the path of the projectile are x = (350 cos 45°)t, and y = (350 sin 45...

Find the absolute maximum and absolute minimum of f on the interval (1,2]: f(x)=(x^3+x^2+3x+1)/(x+1) A. Maximum: (1, 2); Minimum: (1, 2) B. Maximum: (1, 2); Minimum: None C. Maximum: None; Minimum: None D. Maximum: None; Minimum: (1, 2) E. None of these I got to my ...

The height h in metres above the ground of a projectile at any time t in seconds after the launch is defined by the function h(t)=4t +48t +3 A.) Complete the square to write H in standard form b.) Find the height of the projectile three seconds after the launch c.) Find the ...


A projectile is launched upward at 26m/s at 30 degrees from the horizontal. The whole path of the projectile takes place over level ground. How much time will the projectile be in the air?

A projectile is launched at an angle of 34.0o above the horizontal. The projectile has a mass of 1.50 kg and is given an initial speed of 20.0 m/s. a) What is the initial kinetic energy of the projectile? b) By how much does the gravitational potential energy of the projectile...

What is an example of flight path of projectile force and range? Explain from start to finish, the flight path of a projectile in the physical activity you chose.

there are no examples of this type of problem in my book so if you could help walk me through it  that would be extremely helpful. thanks ahead of time. Find the extreme values of the function on the interval and where they occur. 4) F(x)=³√(x); 3</=x</=64 A. ...

I don't understand how to find the maximum and minimum. Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. 15.f(x) = x2 + 2x  4 20.f(x) = 2x2  4x 19.f(x) = x2  2x + 1 30.f(x) = ...

analyzing the motion of a projectile: a projectile is fired from a cliff 200 feet above the water at an inclination of 45 degrees, with a muzzle velocity of 50 feet per second. the height of the projectile above the water is given by h(x)= 0.0128x^2+x+200 where x is the ...

Can someone help me with these questions? 1.What are the maximum and minimum values for Y=28(1.21)^x on the interval 0<x<12? a) 275.8 and 0 b) 275.8 and 28 c) 249.7 and 28 d) 188.4 and 28 2. For what value of x does the maximum or minimum of f(x)= x^2 +8x + 12 occur? Is ...

A projectile is fired at 45.0° above the horizontal. Its initial speed is equal to 42.5 m/s. Assume that the freefall acceleration is constant throughout and that the effects of the air can be ignored. What is the maximum height reached by the projectile? At what time after ...

A projectile is being launched from ground level with no air resistance. You want to avoid having it enter a temperature inversion layer in the atmosphere a height h above the ground. 1) What is the maximum launch speed you could give this projectile if you shot it straight up...

A projectile propelled straight upward from the ground is modeled by the function d(t)=16t^2+304t. a) At what time does the projectile reach maximum height? b) What is the maximum height? c) At what times is the projectile more than 500 feet above the ground. Write your ...


A projectile is fired at 30.0° above the horizontal. Its initial speed is equal to 172.5 m/s. Assume that the freefall acceleration is constant throughout and that the effects of the air can be ignored. What is the maximum height reached by the projectile? At what time after...

Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated intervals. Enter 1000 for any absolute extrema that does not exist. (A) Interval = [1,4] Absolute maximum = Absolute minimum = (B) Interval = [1,8...

Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated intervals. Enter 1000 for any absolute extrema that does not exist. (A) Interval = [1,4] Absolute maximum = Absolute minimum = (B) Interval = [1,8...

If a projectile is launched from a platform 30 feet high with an initial velocity of 128 feet per second, then the height of the projectile at t seconds is given by s(t) = –16t2 + 128t + 30 feet. (a) At what time does the projectile attain its maximum height? Show some work...

If a projectile is shot under an angle of 30* with a force of 500N what is the time the projectile reaches the maximum hight.The projectile's mass is 100g.(g=10N/kg)

Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = square root of (25 − x^2) (a) [−5, 5] minimum (x, y) = (smaller xvalue) (x, y) = (larger xvalue) maximum (x, y) = (b) [−5, 0) minimum...

Find the absolute maximum and absolute minimum of f on the interval (4, 1]: f(x)=(x^3+8x^2+19x+12)/(x+4) A. Maximum: None; Minimum: (2, 1) B. Maximum: (4, 3); Minimum (1, 0) C. Maximum: (4, 3); Minimum: (2, 1) D. Maximum: None; Minimum: (1, 0) E. none of these

A projectile is thrown upward with an initial velocity of 272 feet per second. After t seconds, its height h(t)above the ground is given by the function : h(t)=16t^2+272t. a. Determine the projectile's maximum height. b. Determine how long it takes the projectile to reach its...

The vertices of a feasible region are A(1,2), B(5,2), C(1,40. Write a function that satisfies each equation. a) A is the maximum and B is the minimum. b) C is the maximum and B is the minimum. c) B is the maximum and A is the minimum.

The vertices of a feasible region are A(1,2), B(5,2), C(1,4). Write a function that satisfies each equation. a) A is the maximum and B is the minimum. b) C is the maximum and B is the minimum. c) B is the maximum and A is the minimum.


a projectile is thrown from the ground with an initial velocity of 20.0 m/s at an angle of 40.0 degrees above the horizontal. find the projectile's maximum height, the time required to reach its maximum height, its velocity at the top of the trajectory, the range of the ...

I'm having some troubles with these. Thanks in advance. If a>0 find the minimum value. If a<0 find the maximum value. 1. y=x²+2x+5 2. y=2x²3x+4 These are functions for parabolas, so f(x)=ax²+bx+c when a does not equal 0 In both your examples, the "a", which is the ...

Given p(x)=x^4+ax^3+bx^2+cx+d,such that x=0 is the only real root of p'(x)=0.If p(1)<p(1),then in the interval [1,1],which is maximum and minimum of p(1) and p(1)?: a)p(1) is minimum and p(1) is maximum. b)p(1) is not minimum and p(1) is maximum. c)neither p(1) is ...

Given p(x)=x^4+ax^3+bx^2+cx+d,such that x=0 is the only real root of p'(x)=0.If p(1)<p(1),then in the interval [1,1],which is maximum and minimum of p(1) and p(1)?: a)p(1) is minimum and p(1) is maximum. b)p(1) is not minimum and p(1) is maximum. c)neither p(1) is ...

Maximum or minimum values of the function f(x) = (1 – x)^2 e^x is: i need solution (a) Minimum value at x = –1; maximum value x = 1 (b) Minimum value at x = 1; maximum value x = –2 (c) Minimum value at x = 1; maximum value x = –1 (d) None of these

Use analytical methods to find the exact global maximum and minimum values of the function f(x)=8xln(4x) for x >0. If a global maximum or minimum does not exist, enter the word NONE. For the global maximum at x=none, But for the Global minimum at x=? Is the Global minimum ...

The function H(t) = 16t2 + vt + s shows the height H (t), in feet, of a projectile launched vertically from s feet above the ground after t seconds. The initial speed of the projectile is v feet per second. Part A: The projectile was launched from a height of 90 feet with an ...

Its been awhile since I have done compleating the square, can you please help me? Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. 19.f(x) = x2  2x + 1 And how you would complete ...

A horizontal projectile with mass of 19.0kg is launched from a height of 7.0m above ground level with a horizontal speed of 250.0m/s. A)During projectile's flight, what forces are acting on it? B)What are the sizes & directions of the forces? C)Assuming ground below flight ...

In a projectile motion, the horizontal range and the maximum height attained by the projectile are equal . A) what is the launch angle? B) If everything else slays the same , how should the launch angle, ¦È0, of a projectile be changed for the range of the projectile to be ...


Show that the projectile angele thita for a projectile launched from origin is given by thita= tan^ minus 1(4H/R). Whete H is the maximum height attained by the projectile and R is the range

The magnitude of the velocity of a projectile when it is at its maximum height above ground level is 12 m/s. (a) What is the magnitude of the velocity of the projectile 1.7 s before it achieves its maximum height? (b) What is the magnitude of the velocity of the projectile 1.7...

The magnitude of the velocity of a projectile when it is at its maximum height above ground level is 15 m/s. (a) What is the magnitude of the velocity of the projectile 1.2 s before it achieves its maximum height? (b) What is the magnitude of the velocity of the projectile 1.2...

A projectile of mass 0.99 kg is shot from a cannon. The end of the cannon’s barrel is at height 6.6 m, as shown in the figure. The initial velocity of the projectile is 9.2 m/s. The projectile rises to a maximum height of ∆y above the end of the cannon’s barrel and ...

f(x)= 4(x+5)^2+3 The vertex is : 5,3 The line of symmetry is x= 3 The maximum/minimum value of f(x)= 5 Is the value of f(5)=3, a minimum or maximum? Minimum Graphing would open from the bottom going up on the negative side.

three more questions: 1) A 1.50kg projectile is launched at 18.0m/s from level ground. The launch angle is 26 degrees above the horizontal. (Assume negligible friction) a) What is the maximum height reached by this projectile? b) How was will the projectile be travelling when ...

In a ballistic pendulum experiment, projectile 1 results in a maximum height h of the pendulum equal to 2.4 cm. A second projectile causes the pendulum to swing twice as high, h_2 = 4.8 cm. The second projectile was how many times faster than the first?

which of the following statements concerning air resitance is false? a. skydiverscan influence their speed by changing thier body positioning b. objects that fall together in a vaccum may fall at differnt speeds in air. c. it is easier for a pitcher to throw a good curve ball ...

What is the relative maximum and minimum of the function? f(x) = 2x^3 + x^2 11x A  The realative maximum is at (1.53,8.3) and the realative minimum is at (1.2,12.01) B  The realative maximum is at (1.53,12.01)and the realative minimum is at (1.2, 8.3) C  The realative ...

Find the absolute maximum and absolute minimum values of the function f(x)=x^3+6x^263x+4 on each of the indicated variables. Enter DNE for does not exist. (A) Interval = [8,0] Absolute maximum = Absolute minimum = (B) Interval = [5,4] Absolute maximum = Absolute minimum = (...


The range R of a projectile is defined as the magnitude of the horizontal displacement of the projectile when it returns to its original altitude. (In other words, the range is the distance between the launch point and the impact point on flat ground.) A projectile is launched...

A projectile is launched from a platform 20 feet high with an initial velocity of 48 feet per second, The height h of the projectile at t seconds after launch is given by h = –16t^2 + 48t + 20 feet. (a) How many seconds after launch does the projectile attain maximum height...

Projectile motion problem. The maximum range for a projectile is achieved when the projectile is fired at 45 degrees. This is true if the launch starts and ends at the same altitude. What about if you fire at a target at a lower elevation? Is the optimal angle still 45 degrees...

When a projectile lands, the angle made between the projectile and the ground corresponds to which of the following aspects of its motion? a)the direction of the acceleration vector just before impact b)direction of the velocity vector just before impact c)direction of the ...

When a projectile lands, the angle made between the projectile and the ground corresponds to which of the following aspects of its motion? a)the direction of the acceleration vector just before impact b)direction of the velocity vector just before impact c)direction of the ...

an astronaut on the moon fires a projectile from a launcher on a level surface so as to get the maximum range. If the launcher gives the projectile a muzzle velocity of 25 m/s what is the range of the projectile?

A projectile of mass 0.377 kg is shot from a cannon, at height 6.6 m, as shown in the figure, with an initial velocity vi having a horizontal component of 6.1 m/s. The projectile rises to a maximum height of y above the end of the cannon’s barrel and strikes the ground a ...

graph g(x)=4(x^3)24x+9 on a calulator and estimate the local maxima and minima. the answers are either a)The local maximum is about –13.627417. The local minimum is about 31.627417. b)The local maximum is about 31.627417. The local minimum is about –13.627417. c)The local...

A projectile is fired from the origin (at y = 0 m) as shown in the diagram. The initial velocity components are V0x = 310 m/s and V0y = 26 m/s. The projectile reaches maximum height at point P, then it falls and strikes the ground at point Q, which is 20 m below the launch ...

A projectile with mass of 139 kg is launched straight up from the Earth's surface with an initial speed vi. What magnitude of vi enables the projectile to just reach a maximum height of 5.8RE, measured from the center of the Earth? Ignore air friction as the projectile goes ...


The speed of a projectile when it reaches its maximum height is 0.42 times its speed when it is at half its maximum height. What is the initial projection angle of the projectile?

The speed of a projectile when it reaches its maximum height is 0.46 times its speed when it is at half its maximum height. What is the initial projection angle of the projectile?

A projectile is launched from the earth’s surface at initial speed v0 at angle θ0 with the horizontal. When the projectile is at its maximum height h, it has half the speed it had when it was at half its maximum height (h/2). At what angle was the projectile launched?

What angle (from earth) should one shoot a projectile so that it reaches it's maximum?

What are the minimum, first quartile, median, third quartile, and maximum of the data set? As cars passed a checkpoint, the following speeds were clocked and recorded. Speed (mph): 55 62 61 54 68 72 59 61 70

A projectile is shot at 35° to the horizontal and lands 12 s later at the same elevation. (a) What is the projectile's initial speed? (b) What is its maximum altitude?

#1 x + 2y < 18 x + y < 10 2x + y < 18 x, y > 0 Maximize z = 3x + 4y subject to the given region. A. Maximum value of 42 at (6, 6) B. Maximum value of 38 at (2, 8) C. Maximum value of 36 at (0, 9) D. Maximum value of 32 at (8, 2) #2 x + 2y < 18 x + y > 10 2x...

1. Find all points of inflection: f(x)=1/12x^42x^2+15 A. (2, 0) B. (2, 0), (2, 0) C. (0, 15) D. (2, 25/3), (2, 25/3) E. none of these I got D. I found the second derivative and equaled it to 0 and solved for x. I plugged the x values in to get my points. 2. Find the ...

A projectile is launched at an angle of 20.0 degrees above the horizontal with an initial speed of 88.1 m/s. The maximum height reached by the projectile will be ____ m.

A projectile is fired with an initial speed of 28.0 m/s at an angle of 65 degrees above the horizontal. The object hits the ground 9.5 seconds later. a) How much higher or lower is the launch point relative to the point where the projectile hits the ground? b) To what maximum ...


a projectile is thrown from the ground with an initial velocity of 20.0m/s at an angle of 40 degrees above the horizontal, find the maximum height,the time required to reach its maximum height,c) it velocity at the top of the trajectory.d) the range of the projectile,e) the ...

A projectile is launched with a speed of 35 m/s at an angle of 58° above the horizontal. Find the maximum height reached by the projectile during its flight by using conservation of energy. m

A projectile is launched with a speed of 41 m/s at an angle of 60° above the horizontal. Use conservation of energy to find the maximum height reached by the projectile during its flight. m

A projectile is launched with a speed of 41 m/s at an angle of 55° above the horizontal. Use conservation of energy to find the maximum height reached by the projectile during its flight.

a projectile is fired with an initial speed of 53 m/s. Find the angle of projection such that the maximum height of the projectile is equal to its horizontal range

1.What are the minimum, first quartile, median, third quartile, and maximum of the data set ? 2,6,12,8,3,9,14,20 A. Minimum=2 Maximum=20 First quartile=3 Third quartile=14 Median=8.5 B. Minimum=2 Maximum=20 First quartile=6 Third quartile=12 Median=8 C. Minimum=2 Maximum=20 ...

An astronaut on the Moon fires a projectile from a launcher on a level surface so as to get the maximum range. If the launcher gives the projectile a muzzle velocity of 23 m/s, what is the range of the projectile? [Hint: The acceleration due to gravity on the Moon is only one ...

A projectile is fired with an initial speed of 31.0 at an angle of 10.0 above the horizontal. The object hits the ground 7.50 later. a. How much higher or lower is the launch point relative to the point where the projectile hits the ground? b. To what maximum height above the ...

Projectile motion problem where a projectile is launched from level ground and lands on level ground. I have to use the kinematic equations to show that the time it takes for the projectile to reach its maximum height is equal to one half of the the total flight time.

We have a projectile launched upward with an initial horizontal velocity of 20 m/s and an initial vertical velocity of 30 m/s. 1. What is the actual initial speed of the projectile? 2. What happens to the horizontal component of the velocity as the projectile flies through the...


a projectile is fired with an inteal speed of 53m/s.find the angle of projection such that the maximum hight of a projectile is equal to its horizontal range.

I realize I'll get a reply in the morning so... A squash ball must have a diameter either 0.5 mm either above or below 40 mm. a) What is the minimum and maximum surface area of a squash ball? Express answer to nearest square millimetre. Minimum: 4902 Maximum: 5153 mm b)If a ...

A projectile is launched from a platform 20 feet high with an initial velocity of 72 feet per second, The height h of the projectile at t seconds after launch is given by h = –16t2 + 72t + 20 feet. (a) How many seconds after launch does the projectile attain maximum height? ...

I was wondering if you could help me solve this projectile motion problem. A projectile is launched with an initial speed of 14.5 m/s at an angle of 35° above the horizontal. The object lands at the same height from which it was launched. Air resistance is negligible. ...

A particle moves so that its position is given by ⟨cos(t),sin(t),cos(6t)⟩. Find the maximum and minimum speeds of the particle.

Derive an expression for the vertical position of a projectile in terms of its horizontal position. This sometimes called parametric equation or path equation for the projectile. I don't know how to get it please help. Thank you.

True/False (#1 only) 1)The horizontal motion of a horizontally launched projectile affects its vertical motion. False 2)The path of a projectile through space is called its. Trajectory

The height in feet of a projectile with an initial velocity of 32 feet per second and an initial height of 48 feet is a function of time in seconds given by h(t) = −16t2 + 32t + 48. (a) Find the maximum height of the projectile. ft (b) Find the time t when the projectile...

a projectile is fired from the surface of the earth with a speed of 200 m/s at an angle of 30 degrees above the horizontal. If the ground is level, what is the maximum height reached by the projectile

1) A particle travels between two parallel vertical walls separated by 16 m. It moves toward the opposing wall at a constant rate of 6.4 m/s. It hits the opposite wall at the same height. The acceleration of gravity is 9.8 m/s. a) What will be its speed when it hits the ...


A projectile is fired from the origin (at y = 0 m) as shown in the diagram. The initial velocity components are and The projectile reaches maximum height at point P, then it falls and strikes the ground at point Q, which is 20 m below the launch point. Assuming air resistance ...

A projectile is projected with speed u at an angle alpha on an inclined plane of inclination angle bita. Find time of flight nn inclined plane and maximum height attained by projectile w.r.t. Inclined plane, range of projectile on inclined plane, angle of projection for which ...

A projectile is fired with an initial velocity of v0 feet per second. The projectile can be pictured as being fired from the origin into the first quadrant, making an angle O with the positive xaxis. If there is no air resistance, then at t seconds the coordinates of the ...

A projectile is fired with an initial velocity of v0 feet per second. The projectile can be pictured as being fired from the origin into the first quadrant, making an angle O with the positive xaxis. If there is no air resistance, then at t seconds the coordinates of the ...

i don't understand the projectile motion...my teacher said...it's a motion of a body confined to a vertical plane, perpendicular to Earth's surface... I don't get it, can anyone explain to me clearly???? plzzzzz....THX!!!! If your teacher said that, she was wrong. I doubt if ...

What is the velocity of a projectile with initial velocity 2m/s at an angle of 30degree to horizontal at the time 0.2s,0.5s,0.8s.Find the maximum height attained by projectile,total horinzontal distance travelled,seconds the projectile remains in air?what is the velocity of ...

A projectile is fired from the surface of the Earth with a speed of 150 meters per second at an angle of 45 degrees above the horizontal. If the ground is level, what is the maximum height reached by the projectile?

A projectile is fired from the surface of the Earth with a speed of 150 meters per second at an angle of 45 degrees above the horizontal. If the ground is level, what is the maximum height reached by the projectile?

A gun is fired from a bunker of 2m deep with an initial velocity of 500m/s at an angle of pi/6 a) Find the parametric equations of the position of the projectile b) Find the range of the projectile to the nearest meter. c) Find the maximum height of the projectile to the ...

The path of a projectile fired at an inclination t0 to the horizontal with initial velocity v feet per second is a parabola. The horizontal distance R, in feet, that the projectile travels is given by R = v2sin(2t)/32.2. What is R if v = 152 and t = 74? Give your answer to the...


A projectile of mass 0.413 kg is shot from a cannon, at height 6.8 m, with an initial velocity vi having a horizontal component of 7.5m/s. The projectile rises to a maximum height of ∆y above the end of the cannon’s barrel and strikes the ground a horizontal distance...

determine the given quadratic function has a minimum valueor maximum vale. Then find the coordinates of the minimum or maximum point. f(x)=x^2=2x9

Find the vertex, the line of symmetry, the maximum or minimum of the quadratic function, and graph the function. f(x)=x^24x3 What is the vertex? (Type an ordered pair) What is the equation of the line of symmetry? x= What is the maximum/minimum of f(x)? Is the value, f(2)= ...

The height in feet of a projectile with an initial velocity of 96 feet per second and an initial height of 112 feet is a function of time in seconds given by h(t) = −16t2 + 96t + 112. (a) Find the maximum height of the projectile. 144 Incorrect: Your answer is incorrect...

Find the maximum and minimum value of the objective function given. z = 21x + 12y maximum value z = minimum value z =
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