A projectile is launched from the ground at an angle of θ above the horizontal with an initial speed of v in​ ft/s. The range​ (the total distance traveled by the projectile over level​ ground) of the projectile is approximated by the equation x=v232sin2θ. Find the launch angle of a projectile with an initial speed of 90​ft/s and a range of 170 ft.

Q: The ________ speed of a particle is the ratio of the change in the central angle to the elapsed…

A: The ........ speed of a particle is the ratio of the change in the central angle to the elapsed…

Q: / Find the equation of the tangent through the Point P(I,4) with the angle of in Clination 8 = 60…

A: Given Point P(1,4) & inclination θ=60To find equation of tangent:

Q: Find how far an airplane will move in landing, if int seconds after touching the ground its speed in…

A: v=180-18tv=0 when t=10

Q: A rope is attached to the bottom of a hot-air balloon that is floating above a flat field. If the…

A: Given: The angle of elevation of the balloon is 65°, and the rate of pulling of rope is 5 ft /s.…

Q: √ ¹ (1+√x)3 √x - dx

A:

Q: A gun with muzzle velocity of 1200 ft >/sec is fired at an angle of 8° above the horizontal. Find…

A: It is given that the gun has the velocity 1200 ft/ sec which is fired at angle 8 degree.Compute the…

Q: Based on the scatterplot predict the value of y when x = 30 %3D

A: The slope of the regression is downward sloping   we can see that As the X increase, the value of Y…

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 4x - y = 2, 3x + y…

A:

Q: When a bullet is fired into a sand bank, its retardation is assumed equal to the square root of its…

A:

Q: dx 9+49x2

A: The given integral is ∫dx9+49x2

Q: Athena kicks a football from the ground with a resultant velocity of 25 m/s at an angle of 47° above…

A:

Q: M 8 V55 N

A: Given query is to find the the value of sinM.

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A: Given,The speed of pilot is 620 mi/hThe pilot flies in a straight path for 1 h 30 min.After 1h 30…

Q: cost sin 2t-t

A: we have to find the following integral

Q: Evaluate dx without using a trigonometric substitution. 9+x2

A:

Q: A projectile is fired with an initial speedof 500 m / sec at an angle of elevation of 45. How high…

A: For projectile motion, the parametric equation for the distance travelled is given by…

Q: If the product of the intercepts made by the straight line (osa xtana+yseca =1 0 sa < on the…

A:

Q: -8x +5)dx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 155° 19x – 2 15x R U S

A: The measure of an angle formed by secants drawn from a point outside the circle is :  Angle = ( far…

Q: The sine of any acute angle must be greater than____-and less than____?

A: Let the acute angle is θ We have the interval of acute angle 0&lt;θ&lt;π2

Q: a. The object's velocity after 5 seconds is (Round to the nearest tenth as needed.) m/sec.

A: We have to find the velocity after 5 sec

Q: Find the acute angle to the nearest degree between the vertical lin x = 2 and 3x -2y + 1= 0

A:

Q: A shell, fired from ground level at an elevation angle of 45 ◦ , hits the ground 24,500 m away.…

A: Given: The shell was fired from the ground at an elevation of θ=45°. Horizontal distance from the…

Q: The rectangles in the figure have been drawn to approximate g(x) dx.

A: Left Rectangle approximation :The left rectangle approximation uses the left top vertices of the…

Q: If the velocity of a moving object is v(t)=t-2/t^2 in meters per second, then what is its…

A:

Q: Why is the answer to the Distance Formula always positive?

A: Firstly we know that Distance Formula is as follows d =√[(x2 -x1 )2  +(y2  -y1 )2 ]

Q: State the formula for the distance d between (x1, y1) and (x2, y2).

A: We have to find out formula

Q: Solve for x ( AB and AD are tangent lines) 12 cm 45 DA C B

A: With the use of three theorems we can solve given problem. They are: 1) Sum of three angles of a…

Q: An object is thrown downward, with an initial speed of 16 ft/s, from the top of a building 320 ft…

A:

Q: A shell is to be fired from ground level at an elevation angle of 30°. What should the muzzle speed…

A:

Q: If the velocity of a moving object is v(t)=t-2/t^2 in meters per second, then what is its…

A: We have to find displacement

Q: The value of f -csc(3x)cot(3x)dx is

A: We have to find integral in this question.

Q: 2. Гcotб xdx

A: We need to find , ∫cot6 xdx ∫cot6 xdx = ∫cot4 x × cot2 xdx ∫cot6 xdx = ∫cot4 x (cosec2x - 1)dx…

Q: Solve the equation for exact Solutions over the in ter val L0,2TJ 2anx =sinx

A:

Q: On what the distance an object travels depend?

A: We know that the distance travelled by an object is given by  Distance=Speed × Time    Where…

Q: You stand 15 feet from the base of a water tower and look un at an angle of 78° at the top of the…

A: Draw the whole situation and mention the angle, hight given than use tangent ratio in the right…

Q: wing is equivalent to sec(T- )?

A:

Q: Sun 10.5ft. 24°

A:

Q: Find the acute angle between 3x – 2y + 7 = 0 and 2y + 4x – 3 = 0 (to nearest degree).

A: Given, 3x-2y+7=0      .....12y+4x-3=0      .....2

Q: A plane flying with a constant speed of 19 km/min passes over a ground radar station at an altitude…

A: Given that a plane flying with a constant speed of 19 km/min passes over a ground radar station at…

Q: The range R of a projectile is shown below, where v0 is the initial velocity in meters per second…

A: We need to approximate the change in the range using differentials. Given v = 1100m/sec

Q: After flying at an altit nen its ground distance- of depression for this

A:

Q: Solve the given equation by using the variation of parameter. y" + y= sec² (x). %3D

A: The given non-homogeneous differential equation is y''+y=sec2x. The corresponding homogeneous…

Q: The height of the ball when its velocity is 0 ft/sec. is feet.

A: First, we will find the velocity of the ball at t second. Then we will find the value of t for which…

Q: Find the approximate root of the equation given below using the Secant method correct to three (3)…

A:

Q: 3. Solve the equation cosh 2x + cosh x 5, giving x to three dec. places. %3D

A: The given equation is cosh2x+coshx=5. Calculate the solution of x to three decimal places.   Here we…

Q: Differential equation question, as in picture

A:

Q: A gun with a muzzle velocity of 1040 ft/ sec is fired at an angle of 16° above the horizontal. Find…

A: Given that muzzle velocity = 1040 ft/secangle θ=16° above the horizontal To find : the horizontal…

Q: 3. Find two elevation angles that will enable a shell, fired from ground level with a muzzle speed…

A: Solution: here we use the range formula