A television camera is positioned 4000 ft from the base of a rocket launching pad. Theangle of elevation of the camera has to change at the correct rate in order to keep therocket in sight. Also, the mechanism for focusing the camera has to take into accountthe increasing distance from the camera to the rising rocket. Let’s assume the rocketrises vertically and its speed is 600 ft/s when it has risen 3000 ft.(a) How fast is the distance from the television camera to the rocket changing atthat moment?(b) If the television camera is always kept aimed at the rocket, how fast is thecamera’s angle of elevation changing at that same moment

Q: The angular velocity of a wheel is 10 revolutions per second. What is the linear velocity in cm per…

A: Given: Angular velocity=10 revolutions per second……1Diameter =60 cm……2

Q: An airplane is flying in calm air with an airspeed of 300 mph. If the plane is gaining climbing at…

A:

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: The objective is to find the rate at which base of the triangle is changing when altitude is 10…

Q: Find the Linear Speed of an Object Traveling in Circular Motion

A: The linear speed of a point on a rotating object depends on its distance from the center of…

Q: "A Kite 65 feet above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle…

A: Given a kite 65 feet above the ground moves horizontally at a speed of 6 ft/s.

Q: A hot air balloon rising upwards is noticed by an observer who is 4 miles from where it is released.…

A: Given that a hot air balloon is rising vertically and being tracked by an observer located 4 miles…

Q: A balloon was rising vertically in the air from the ground level that was 12 feet away from an…

A: Given,  a balloon was rising vertically in the air from the ground level that was 12 feet away from…

Q: Two cars leave the same point at the same time in straight-line paths that are 120 degrees apart. If…

A:

Q: A bird 150 ft above the ground flies horizontally at a speed of 11 ft/s. At what rate is the angle…

A: Given Data: The height of the bird above the ground is: y=150 ft The speed of the bird is: x'=11…

Q: b) A racecar travels on the flat road and its motion is monitored. i) If the car is accelerating at…

A:

Q: A street light is mounted at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the…

A:

Q: A projectile is given an initial velocity of 31.5 m/s at an angle of 51.5 degrees with respect to…

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

Q: Graph the path of the human cannonball if the initial velocityout of the cannon is 50 miles per hour…

A: Given: Initial velocity is V0=50 miles per hour. Angle of projectile θ=60°. The parametric…

Q: Can this problem be reworked to find the correct speed of the curve?

A: Speed is the rate of change of position so, we get speed by differentiate r(t) with respect to t.

Q: Two aeroplanes are departing from an airport. They are flying in a straight line where their flight…

A: Tow airplanes are departing from an airport. They are flying in a straight line where their flight…

Q: A figure skater is sponning with her arms outstretched at an angular velocity of 76.4 revolutions…

A: Consider the given angular velocity  ω=76.4revolutionminute and radius r=90cm Convert unit…

Q: Peter and Juan went to Pampanga to go bird watching. After observing some time, they were surprised…

A: Let's call the angle between the horizontal line and the line of sight from Peter to the eagle as…

Q: The 550 ft tall wheel has a diameter of 5290 ft. a rde on its one of its 28 passenger cars last 30…

A: Given that the wheel is 520 feet in diameter & its height is 550 feet. Time required for one…

Q: You are standing 12 feet away from a balloon launcher that will release a balloon vertically up into…

A: