Consider the motion of a bullet that is fired from a rifle 3 m above the ground in a northeast direction. The initial velocity of the bullet is150,150,0. Assume the​ x-axis points​ east, the​ y-axis points​ north, the positive​ z-axis is vertical​ (opposite g), the ground is​ horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors for t≥0. b. Make a sketch of the trajectory. c. Determine

Q: When a projectile reaches the highest point the horizontal component of the acceleration is:   E)…

A: Given data:  A projectile motion Object at highest point Required: The horizontal component of the…

Q: Assume you have the following two vectors: A 14i+ 15.5j + 13k B = 1.3i+ 7.5j - 1.9k Part (a) What is…

A: We will calculate the cross product with the help of determinants

Q: Hello, (a) In what direction would the ship in Exercise 3.57 have to travel in order to have a…

A: First resolve the velocity in x and y direction

Q: In physics, it is established that the acceleration due to gravity, g (in meters/sec2 ), at a height…

A: Given: Formula: g(h) = 3.99 * 1014/(6.374 * 106 + h) 2

Q: Two astroids are flying through outer space, in the directions shown below. Astroid A moves at VA =…

A: Solution: vA = 2.8x104 m/s vB = 2.4x104 m/s mA = 2.9x1021 kg mB = 3.1x1021 kg

Q: An arrow is shot from a height of 1.5 m toward a cliff of height H. It is shot with a velocity of 28…

A: a) The total vertical displacement from the height is, y=yo+usinθt-12gt2H=1.5 m+28 m/ssin60o3.78…

Q: The position F of a particle moving in an xy plane is given by: ř (2.00t° – 5.00t )î +(6.00–7.00t*)}…

A: Givenposition vector=r→=(2.00t3-5.00t)i^+(6.00-7.00t4)j^where i^,j^represent unit vector along…

Q: A projectile is fired in the air from a height of 125 feet. Its velocity​ (in feet per​ second) t…

A: velocity is given in ft/s  x     =  0        5     10      15      20    25        30 f(x) = 230…

Q: The velocity of a particle moving in the x-y plane is given by (6.07i+ 4.97j) m/s at time t = 3.87…

A:

Q: The velocity of a particle moving in the x-y plane is given by (6.07i+ 4.97j) m/s at time t = 3.87…

A:

Q: 31. Which quantity has both magnitude and direction? b. Mass c. Speed d. Velocity a. Distance 32.…

A: Given that Vector and scalar quantities

Q: Nathalie travels north 5 miles and then goes west 3 miles before coming straight back south 2 miles.…

A: Given Information:- Nathalie first travels 5 mi North then goes 3 mi west and then straight back 2…

Q: A snowmobile is originally at the point with position vector 26.3 m at 95.0° counterclockwise from…

A: Initial velocity and acceleration vector

Q: A car initially traveling eastward turns north by traveling in a circular path at uniform speed as…

A:

Q: In the Projectile experiment, the projectile was fired horizontally with an initial velocity (Vo)…

A: This question based on Motion in a plane topic. Slope of any graph is the ratio of change in the…

Q: Which of the following will not affect the trajectory of an idealized projectile? a. initial angle…

A:

Q: A football player launches the ball from initial position x(0)=y(0)%=D0, with initial velocity v =…

A: v = v0cosθi^+v0sinθj^Gravitational force = -mgj^

Q: The position vector of a particle of mass 0.05 kg is r (t) = 3 cos (4. t)i + 3 sin (4.t)j +10 t k…

A:

Q: A fish swimming in a horizontal plane has velocity given by v i j i = 4ˆ + ˆ  m/s at a point in…

A: Consider a fish swimming in a horizontal plane with an initial velocity, vi and at some point in the…

Q: cannon ball is fired from ground level with a speed of 430 m/s at an angle of 37.0° to the…

A:

Q: a. Find the velocity and position vectors for t≥0. b. Graph the trajectory. c. Determine the time of…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: A blue ball is thrown upward with an initial speed of 21.4 m/s, from a height of 0.8 meters above…

A: As per guidelines only first 3 questions are solved here. Given, Initial speed of blue ball, uB =…

Q: A soccer player kicks a ball with an initial velocity of 10 meters per second at an angle of 30…

A:

Q: A military helicopter on a training mission is flying horizontally at a speed of 90.0 m/sm/s when it…

A:

Q: An airplane releases a ball as it flies parallel to the ground at a height of h = 215 m as shown in…

A: Given data: Height (h) = 215 m Distance traveled in horizontal direction = 215 m g = 9.81 m/s2…

Q: A glider is initially moving at a constant height of 3.76 m. It is suddenly subject to a wind such…

A: GIven data The constant height of the glider is h = 3.76 m. The velocity of equation is given as…

Q: A man throws a stone horizontally with velocity  Vi. If the vertical displacement is 155 meters and…

A:

Q: It is a form of motion experienced by an object or particle that is thrown near the Earth’s surface…

A: When the object is thrown at any angle which is less than 90 degree and more than 0 degree, the path…

Q: The horizontal range Rx of a projectile on the earth is vo2 sin(2θo)/g. The gravitational…

A:

Q: Two highways intersect as shown in the figure. At the instant shown, a police car Pis distance dp =…

A: distance of police car from intersection (dp) = 710 m distance of motorist from intersection (dM) =…

Q: A rocket is tracked by radar from its launching point A. When it is 10 seconds into its flight, the…

A: Velocity vector

Q: Two astroids are flying through outer space, in the directions shown below. Astroid A moves at VA =…

A:

Q: Two highways intersect as shown in the figure. At the instant shown, a police car P is distance dp =…

A:

Q: As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 60.0° north…

A: Given: The speed of the hurricane = 41 Km/hr. The direction of the hurricane = 60 0 north of west

Q: Chapter Ten Rectilinear Motion 317 = 312 (a) the particle is initially at rest at the origin. X =S…

A: Given v=3t2+4t

Q: 4. A plane traveling at 192 km/h [N] is blown eastward by the wind with a speed of 56.0 km/h. What…

A:

Q: Starting from oxy (0,0), a ball is thrown off the Palisades Cliffs with velocity v. making an…

A:

Q: When you throw a ball through some trajectory (the angle above the horizontal is between O and 90…

A: In throwing a ball through some trajectory (the angle above the horizontal is between O and 90…

Q: A jet airliner moving initially at 2.60 ✕ 102 mi/h due east enters a region where the wind is…

A:

Q: A paper plane is traveling with the following velocity: (2.5i + 3.2j + 3.2k) m/s What unit vector…

A: The velocity of the paper plane: v→ = (2.5i^ + 3.2j^ + 3.2k^) m/s .

Q: From the choices below, What motion is the combination of horizontal and vertical components that…

A: Projectile motion is the motion, which is the combination of horizontal and vertical components that…

Q: An object is thrown off the top of a building with velocity 32 m/s at an angle 34 degrees with…

A: Given : vo = 32 m/s θ = 34° t = 6.2 s y = 0 (because finally object reaches the ground)

Q: Two highways intersect as shown in the figure. At the instant shown, a police car P is distance dp =…

A: Given, Two highways intersect Distance of police car from intersection, dp=710m Similarly dM=580m…

Q: An object is moving in a circle of radius 10 cm centered on the origin in the xy-plane at a constant…

A: The radius of the circle is r = 10 cm = 0.1 m centered at origin (0, 0) and the linear velocity of…

Q: 19. A playground is on the flat roof of a city school, 6.00 m above the street below (Fig. P3.19).…

A: (a) The horizontal displacement of the ball, Rewrite the above equation for the initial speed of…

Q: An airplane releases a ball as it flies parallel to the ground at a height of h= 285 m as shown in…

A: It is a projectile motion time taken in moving from h height above to bottom is equal to the time…

Q: A projectile is launched at an angle of 45° to the horizontal from 6 ft above the ground at an…

A:

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.