A particle travels in a circle of radius 12 m at a constant speed of 21 m/s. What is the magnitude of the acceleration?

Q: A ball is shot straight up into the air with initial velocity of 45 ft/sec. Assuming that the air…

A: we know third law of equation of motionv2=u2+2aswhen ball reaches to highest point then final…

Q: c. A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec.…

A:

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 5 cm/min.…

A:

Q: Gas is being pumped into a spherical balloon at the rate of 10 cubic inches per second. When the…

A: we have given that Gas is being pumped into a spherical balloon at the rate of 10 cubicinches per…

Q: A Ferris wheel with a radius of 10 m is rotating at a rate of one revolution every 2 minutes. How…

A: the height is given byh = 10 sin (pi * t) + 10dh/dt = 10 cos (pi * t) * pi

Q: For centripetal acceleration a : [r-a ...). ar sine

A:

Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower…

A: Given that - A stone is thrown vertically upward with a velocity of 40 feet per second from the top…

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -190 feet per…

A: Recall the popular law of motion: v2 - u2 = 2gh where v = final velocity; u = initial velocity; h =…

Q: An object is dropped from 260 ft. above the surface of the moon with an initial velocity of 0…

A: Let's solve for time taken the object to hit the surface of the moon.

Q: The radius of a spherical balloon is decreasing at a rate of in/sec.

A: Radius of balloon = r = 4 inchesDecreasing rate of balloon = drdt = -2πinches/secondVolume of…

Q: Fireworks are fired up from a platform 3 ft. above the ground with an initial velocity of 125 ft/s.…

A: Given that: Fireworks are fired up from a platform 3 ft. above the ground with an initial velocity…

Q: A stone is thrown vertically upwards, from the edge of a 5 m tall cliff with an initial velocity of…

A:

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -120 feet per…

A:

Q: Rain is falling into a cylindrical barrel at the rate of 20 cm3/min. If the radius of the base is 18…

A: Given,            Rain is falling into a cylindrical barrel at the rate of 20 cm3/min.…

Q: A spherical balloon is being deflated at a rate of 80 cm³/min. At what rate is the radius decreasir…

A:

Q: What is the velocity (in ft/s) of a sandbag 2.5 s after it is released from a hot-air balloon that…

A: Given that a sandbag is released from a hot-air balloon that is stationary in the air. Then we have…

Q: Water is flowing into a vertical cylindrical tank at the rate of 5 cu ft/min. If the radius of the…

A: Given, water is flowing into a vertical cylindrical tank at the rate of 5 cu ft/min (ie) Volume is…

Q: A 500-lb motorcycle is headed up a hill inclined at 12°. What force is required to keep the…

A:

Q: Define Constant acceleration ?

A: The acceleration of a particle or a body is defined as the rate of change of the particle or the…

Q: A person has a steel ball attached to a 6 foot long rope and is rotating the ball at the rate of 10…

A: Given, The length of the rope (r)is 6 foot =6 foot x 0.3048meter =1.8288 meters θ = number of…

Q: The turbine fan blade of a turbojet engine is 1.2 m in diameter and rotates at 250r/s. How fast is…

A:

Q: Rain is falling into a cylindrical barrel at the rate of 20 cm3 /min. If the radius of the base is…

A:

Q: A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec. Assuming…

A:

Q: A Helium is being pumped into a spherical balloon at a rate of 12cm³/min. Determine the rate at…

A:

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -110 feet per…

A:

Q: A ball is shot from the ground straight up into the air with initial velocity of 40 ft/sec. Assuming…

A:

Q: Suppose a woman has enough “spring” in her legs to jump (on earth) from the ground to a height of…

A:

Q: A water balloon is launched from a platform 96 feet above the ground, with an initial velocity of…

A: The location of the water balloon when hit the ground is (120, 36, 0).

Q: Determine the magnitude and direction of velocities of 3 m/s at 18° and 7 m/s at 115° when acting…

A: Solution

Q: A ball is shot straight up into the air with initial velocity of 47 ft/sec. Assuming that the air…

A:

Q: A ball is shot from the ground straight up into the air with initial velocity of 42 ft/sec. Assuming…

A:

Q: An object is dropped from 260 ft. above the surface of the moon with an initial velocity of 0…

A:

Q: Show that the period of motion of an undamped vibration of a mass hunging from a vertical spring is…

A:

Q: ball is shot from the ground straight up into the air with initial velocity of 47 ft/sec. Assuming…

A:

Q: A ball is shot from the ground straight up into the all velocity of 48 ft/sec. Assuming that the air…

A: Given that  Initial velocity=48 ft/sec To find How high does the ball goes.

Q: On the moon, the acceleration due to gravity is 1.6 m/sec2. a) If a rock is dropped into a crevasse,…

A: a) The acceleration due to gravity on the moon is -1.6 m/sec2. Recall that the second derivative of…

Q: A water balloon is launched from a platform 96 feet above the ground, with an initial velocity of…

A:

Q: Find the acceleration of the potato at 0.5 s ft/s?

A: s(t)=-81t2+225t+3acceleration a(t)=s''(t)consider s(t)=-81t2+225t+3Differentiate with respect to…

Q: What constant acceleration will bring an automobile traveling 60 mph to rest in 160 feet?

A: Explained below

Q: A 30 foot ladder is resting against a vertical wall, with its other end on horizontal ground, with…

A:

Q: A gas line-driven lawnmower has a blade that extends out 1 foot from its center. The tip of the…

A:

Q: A comment loses material when it gets close to the sun at a rate of 100 m³ per minute. Assuming that…

A: Given a comet loses material when it gets close to the sun at a rate of 100 m³ per minute.

Q: A ball is shot straight up into the air with initial velocity of 49 ft/sec. Assuming that the air…

A: See the details solution in below

Q: A raindrop falls with acceleration 9.8 m/sec² , where "v" is its velocity. What is the raindrop's…

A:

Q: A ball is shot from the ground straight up into the air with initial velocity of 41 ft/sec. Assuming…

A: Explained below

Q: Rain is falling into a cylindrical barrel at the rate of 20 cm3/min. If the radius of the base is 18…

A:

Q: 1. A particle moving along in a straight line with a uniform acceleration covers 72 cm displacement…

A:

Q: A cannon is fired at an angle of 75° with the ground at an initial velocity of 250 m/s. Calculate…

A: To find the speed

Q: A ball is thrown vertically upward from ground level with an initial velocity of 64 feet per second.…

A:

Q: a projectile is fried upward from ground level with an initial velocity of 244 ft/sec. how high will…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.