A commercial jet sets its speed to 525 mph, and points its nose in the direction of 15 degrees west of north (-105 degrees from +x-axis). However, a strong jet stream is blowing at 110 mph at a direction of 20 degrees. The actual resultant velocity of the aircraft is the sum of these two vectors. a. Find the final velocity b. For this airspeed and wind velocity, find the angle west of due north that the nose will need to point in order for the final velocity to be due north.

Q: Consider a projectile being launched with an initial speed of 49.5 m/s at a variety of initial…

A: a) Given data The initial velocity of the projectile launched is given as u = 49.5 m/s. The angle…

Q: A projectile has an initial velocity of 45m/s at an angle of 53° with respect to the horizontal and…

A: Given data The projectile has an initial velocity of u = 45 m/s The projection angle of the…

Q: 2. A delivery man starts at the post office, driyes 40 km north, then 20 km west, then 60 km…

A:

Q: Which of the following vectors best describes the direction of the acceleration at point 60m,-45m ?

A: The vectors d,b are enough to describe the direction of acceleration of point 60,-45. Cause b can…

Q: 1. What vector quantity is involved in the following problem? * A girl delivering newspapers covers…

A:

Q: (a) Find the value of v. (b) Show that its height h above the ground at time t seconds is given by h…

A: SOlution: given that u=v13 m/s angle = tan-1(3/2)

Q: During the Olympic Games, a shot putter threw a shot put with a speed of 14.0 m/s at an angle of 40…

A: a) The required time is, Therefore, the required time is 2.03s. b) The required distance is,

Q: One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which…

A:

Q: A chimpanzee sitting against his favorite tree gets up and walks 30.2 m due east and 54.7 m due…

A:

Q: On a winter morning a mailman drives 3.50 due east of the post office to deliver an express package…

A:

Q: In order to go from her office to her favorite pizzeria for lunch, a woman walks due east (polar…

A: (a) Total distance traveled is D = (3.2) x5x60 + 2.7 x4x60 = 960 + 648 = 1608 m

Q: If a car travels from mile marker 45 to mile marker 25 on I-10,    A)  What is the distance…

A: Considering car travels in straight line, the distance traveled by the car is

Q: A person walks in the following pattern: 2.6 km north, then 2.9 km west, and finally 4.6 km south.…

A: Patterns of his/her journey : 2.6 km north, then 2.9 km west, and finally 4.6 km south.

Q: A plane has an airspeed of 200 mph. The pilot wishes to reach a destination 600 mi due east, but a…

A:

Q: A person in the passenger basket of a hot-air balloon throws a ball horizontally outward from the…

A: The velocity when the ball is ascending is The angle above the horizontal is

Q: C. An airplane traveling at 725 km/h in the direction 41.5° north of west. Find the components of…

A:

Q: C. Draw or locate properly the following vector directions in the given Cartesian plane. Use…

A:

Q: e direction of the resultant of vector A moving 21 km/hr, north and vector B heading 12 km/hr, East

A: consider north as positive y direction and east as positive x direction therefore  resultant vector…

Q: A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h,…

A:

Q: A hockey puck is given an initial velocity such that vx = 11 m/s and vy = 23 m/s, where the x­y…

A: (a) The initial speed of the puck is, v=vx2+vy2=11 m/s2+23 m/s2=25.5 m/s

Q: Your friend ask you to go to mall to buy fruits. To head to the store from your house, you walked…

A:

Q: A projectile is to be fired from the centre of the top of a building that is 100 m tall. It will be…

A:

Q: S. A stone thrown horizontally from the top of a tall building takes 7.56 s to reach the street. How…

A:

Q: A projectile is launched at an angle of 60° from the horizontal and lands 69 s later at the same…

A:

Q: A duck with a still water velocity of 5.00 km/hr heads across a stream that flows directly West with…

A:

Q: In an airplane that has an air speed of 250 mi/hr, a pilot wishes to fly due north. If there is a…

A:

Q: Maria is flying her plane with an engine speed of 322 km/h at a heading of [N32°E]. If the wind…

A:

Q: m A cannon sits on a horizontal plain, angled up at 35°. A cannonball is fired with a velocity of…

A:

Q: An experimental plane just after takeoff climbs with a speed of 500 km/h at an angle of 37 degrees…

A: Given data:  Speed (v) = 500 km/h Angle (θ) = 37°, with the horizontal Required: Vertical and…

Q: Lee Min Ho walks 1.00 km north and then 2.00 km east on a horizontal snowfield. (a) How far north…

A: We align the directions as per the conventional method and then draw the path travelled by Lee. We…

Q: A squirrel in a typical long glide covers a horizontal distance of 16 m while losing 8.0 m of…

A:

Q: A person is traveling in a plane at 400 miles/hour due east with a strong crosswind blowing from…

A: a) The required velocity is, The angle of direction is,

Q: (c) Find the acceleration vector ā(t). What direction does the acceleration vector point in? Hint:…

A: Given: Radius of the circle is r = 10 cm centered at origin (0, 0) and the linear velocity of the…

Q: A ball is projected with initial velocity of 18 m/s at an angle of 25 degree. What is the time of…

A: Given data:  Initial velocity (u) = 18 m/s Angle (θ) = 25° with horizontal Required: The time of…

Q: A student bikes to school by traveling first N = 1.00 miles north, then W = 0.400 miles west, and…

A:

Q: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed…

A: Given: The initial speed is 18.0 m/s. The height of the cliff is 50.0 m.

Q: A supply plane flies horizontally with a speed of 100 m/s and an altitude of 350 m. Use g = -10…

A: NOTE: As per guidelines I can give solution for first three parts only. If you need help with other…

Q: A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast,…

A: a) Assume the X axis be along east axis and Y axis be along north axis and S be the displacement.…

Q: N + S Start E B

A:

Q: is a wind of 100 km/hr What is the velocity of the plane relative to the earth? b. What angle from…

A:

Q: |(a) If the vector A = 21 + 3j + 8k is perpendicular to the vector B = -4î + 4j + nk, find the value…

A: a) When two vectors are perpendicular to each other, their dot product is zero. Given vector A and…

Q: A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at…

A:

Q: (a) If the magnitudes of the two velocity vectors are V1 = 3 m/s and V2 = 2 m/s, determine their…

A:

Q: To get to the sandwich shop, you left home and drove 6 miles south, then 10 miles west, and lastly 3…

A: Depicting the given problem in the diagram, The position vector are  OA→=-6j^AB→=-10i^BC→=3j^ where…

Q: A person can row a boat at 4.00 mi/h in still water. They need to cross a river that is 1.50 mi wide…

A:

Scalars and Vectors

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