3.Baseball pitchers in the MLB can throw a11:59 PM fastball in excess of 100 mph. If the distance from the mound to the plate is 60'6", what is the ball's expected drop due to gravity? 1 mile 5280'. Assume that the pitcher throws the ball directly level to the ground.

Q: What is the minimum radius at which an airplane flying at 300 m/s can make a U-turn if its…

A:

Q: 1. A ball is thrown horizontally from a building 75.0 m high with a speed of 25.0 m/s. Fin the (a)…

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

Q: 77. ••An airplane flying upward at 35.3 m/s and an an- gle of 30.0° relative to the horizontal…

A: The given data are listed below with appropriate variables. Here, v denotes the plane’s speed, θ…

Q: A boll rounds a 16 m radius curve at 8 m/s. The magnitude of it's acceleration in m/s?

A: Given :  Radius ,"r"= 16m velocity "v"= 8m/s.   Formula used :  ac= v²/r .

Q: What is the maximum velocity, in miles per hour, for an automobile rounding a level curve of 200 ft…

A: Here, It is mentioned that the curve is level i.e. it is a flat road. Given(s): Radius, r=200 ft…

Q: A high-tech drone flies over Miami, FL in a direction 59° west of north with a speed of 39 km/h.…

A:

Q: The velocity of an object swinging in circular motion with a radius 2 m with a rate of 5rev/s is…

A: As per guidelines, only first question is solved here . Given, Radius of circle = 2m Angular…

Q: A particle travels in a circular orbit of radius 10 m. Its speed is changing at a rate of 15.0 m/s2…

A:

Q: A cyclist goes around a level circular track at a constant speed. Is the acceleration 0? Explain

A: Write the equation for the acceleration. Acceleration=Change in velocityTime interval The cyclist is…

Q: A newly established colony on the Moon launches a capsule vertically with an initial speed of 1.281…

A:

Q: Humans lose consciousness if exposedto prolonged accelerations of more than about 7g. This is of…

A: The centripetal acceleration (a) in terms of the speed (v) and radius (r) of the curve can be…

Q: 5. You accidentally throw your car keys horizontally at 8.0 m/s from a cliff 64-m high. How far from…

A: Initial velocity, u = 0Final velocity, v = 8 m/sVertical displacement, y = 64 mAcceleration due to…

Q: 5. A projectile is launched at 4.5 m/s at an angle of 25º. where is the projectile located at the…

A: Motion of projectile can be divided into x component and y component

Q: 2. From the top of a tower 156.8m high, a projectile is thrown up with a velocity of 39.2m/s making…

A: Height of tower = 156.8 m  Initial velocity = 39.2 m/s angle of projection = 40 degree

Q: 9. An airplane is flying in a horizontal direction with a velocity 600 kmh-1 at a height of 1960 m.…

A: Given that:- Velocity of aeroplane=600km/he (along horizontal) Height of the plane(h)=1960m

Q: 3a) Batman is running away from Gotham police. He is running at 8.4 m/s on top of an 746 m building.…

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Q: 7. A stunt car traveling at 20 m/s flies horizontally off a cliff and lands 39.2 m from the base of…

A: Given,     The horizontal velocity u=20m/s     The horizontal rangeR=39.2m            Along…

Q: 1. A skydiver jumped out of a plane to shoot a skydiving scene for a certain spy movie. At what…

A: Given : Initial height of plane (h) = 3324.46 m The height at which the skydiver needs to open the…

Q: 14) The initial speed of a cannon ball is 200 m/sec. If the ball is to strike a target 3000 m away,…

A: Using the formula for range, R=u2sin2θgθ=12sin-1gRu2=12sin-19.8 m/s23000 m200 m/s2=23.6536o

Q: 1. The speed of a racing car is increased at constant rate from 80 kph to 138 kph over a distance of…

A:

Q: 6. A ball is thrown upward from the top of a building at an angle of β to the horizontal and with an…

A:

Q: The driver of a car moving at 90km/h pressed down on the brake as the car enters a circular curve of…

A:

Q: **79. A placekicker is about to kick a field goal. The ball is 26.9 m from the goalpost. The ball is…

A: Let u denote the initial speed of the ball, s denote the distance of the placekicker from the…

Q: 18. A horizontal rifle is fired at a bull's-eye. The muzzle speed of the bullet is 670 m/s. The gun…

A: Given: Speed of the bullet is V = 670 m/s. Vertical distance y = 0.025 m.

Q: 18. (I) A diver running 1.8 m/s dives out horizontally from the edge of a vertical cliff and 3.0 s…

A: Given, Velocity, v=1.8 m/s Time, t=3 s

Q: 21. A arctic tern was born in north pole. In autumn, it flys for about 20000 km to south pole, and…

A: 21. Given that, a arctic tern was born in north pole.  Arctic tern flys 20000 km to south pole. So…

Q: 3. A baseball batter hits a baseball when it is a height of 85cm above the ground with an angle of…

A: Lets find the range of the above projectile:- R= u2sin(2ø)/g = 352sin(2×35)/9.8 = 117.5 m Where; u=…

Q: 1. A missile is launched horizontally at A with the speed vo = 188 m/s. the horizontal distance…

A: Given- Initial velocity of missile (u) = 188 m/s Horizontal distance traveled (d) = 1200 m  Final…

Q: 918 5. A baseball pitcher throws a ball at a target (marked by ) directly ahead in a perfectly…

A: Given, speed =40 m/s The horizontal distance of target-10 m

Q: 2. A man walks westward on ship with a speed of 4 km/hr. The ship' s propeller drives it 15 km/hr…

A: In the given question, We have to calculate the actual speed of the man relative to the earth and…

Q: A jogger is running around a circular track that has a circumference of 472m. The magnitude of the…

A: Given data: The circumference is 472 m The centripetal acceleration is 1.28 m/s.s The radius is:…

Q: 2. A man walks westward on ship with a speed of 4 km/hr. The ship’s propeller drives it 15   km/hr…

A:

Q: 2. A ball traveling at 100 cm/s rolls off the edge of level table. If it hits the earth 30 cm away…

A:

Q: A baseball hit just above the ground leaves the bat at 35 m/s at 45∘ above the horizontal.  How far…

A: GivenInitial velocity u = 35 m/sAngle θ = 45o

Q: 55. A NASA astronaut hits a golf ball on the Moon. Which of the following quantities remain constant…

A: Given:-  A NASA astronaut hits a golf ball on the Moon. Which of the following quantities remain…

Q: I hit a baseball into a pop fly at 41 m/s at a 60 degree angle from horizontal. (Level ground, Earth…

A: The given data are listed below with appropriate variables. Here, v denotes the baseball’s speed, θ…

Q: 37. A NASA astronaut hits a golf ball on the Moon. Which of the following quantities remain constant…

A: First of all, hitting a golf ball on the moon and on the earth is same , only the thing that chnage…

Q: An aircraft is moving horizontally with a speed of 50 m/s. At the height of 2 km, an object is…

A:

Q: 6. A bullet traveling horizontally at a speed of 395 m/s hits a board perpendicular to the surface,…

A: Given : A bullet traveling horizontally at speed = 395 m/s hits a board              bullet passes…

Q: A stone is thrown from the ground at an angle of 60° with the x-axis. Its initial velocity is 100…

A: Motion of projectile can be divided into x component and y component.

Q: A bullet is shot straight up from the surface of the Moon (g = 1.62 m-) with an initial %3D velocity…

A:

Q: A bird flies at a velocity of 10.00 m/s straight into the wind.  If it takes the bird 22 minutes to…

A:

Q: While standing on a the edge of a boat you toss an orange straight up at 11.1 m/s. How long does it…

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Q: 5. A river flows downstream at 3.00 m/sec. A motorboat travels 8.00 km downstream at maximum speed,…

A:

Q: A race goes around a circular level track of diameter 1.00 km at a constant speed of 90.0 km/hr. The…

A: Given data: 1 km = 1000 m 1 hour = 3600 second Diameter of the circular drack (d) = 1 km…

Q: The car travels a circular path so that the speed increases by a, = (0.5e*) m/ s2. After t seconds…

A:

Q: 5 A car accelerates uniformly while travelling on a straight road. The car passes two signposts 360…

A: As per our answering guidelines, we will be answering only the first question. Kindly post the other…

Q: 4. One of the fastest recorded pitches in major league baseball was clocked at 101.0 MPH…

A: Given data The horizontal velocity of the baseball is given as vx = 101 mph. The distance of the…

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.