A car travels due east with a speed of 50.0 km/h.Raindrops are falling at a constant speed vertically with respectto the Earth. The traces of the rain on the side windows of thecar make an angle of 60.0° with the vertical. Find the velocityof the rain with respect to (a) the car and (b) the Earth.

A car travels due east with a speed of 50.0 km/h.Raindrops are falling at a constant speed vertically with respectto the Earth. The traces of the rain on the side windows of thecar make an angle of 60.0° with the vertical. Find the velocityof the rain with respect to (a) the car and (b) the Earth.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 9P

See similar textbooks

Related questions

Q: An object is launched with an initial velocity of 24.5 m/s at an angle of 37.2 degrees relative to…

Q: A ball is launched with an initial velocity of 44.1 meters per second, at an angle of 34.4" above…

A: Given Initial velocity is 44.1 m/s. Direction is 34.4° from horizontal. We can calculate the…

Q: A projectile is launched with an initial velocity of 80 m/s at an angle of 30° above the horizontal.…

A: In projectile motion if there is no air resistance the object will be subjected to only one force…

Q: An arrow at angle of 25° is moving at a rate of 15 m/s, find the final velocity (along the X and Y…

Q: The speed of a projectile in the horizontal direction is constant. O True O False

A: For a projectile the only force acting on it is gravitational force and it is acting downward in…

Q: Hockey player A carries the puck on his stick and moves in the direction shown with a speed vA = 3.0…

Q: a rescue plane flies at 198 km/h (= 55.0 m/s) and constant height h = 500 m toward a point directly…

Q: What is the resultant of vector A=5m East and 10m 30° South of West?

Q: A bullet is fired from the ground with an initial velocity of 50 m/s that makes with the horizontal…

Q: A projectile is fired horizontally from a gun that is 45.0 m above flat ground, emerging from the…

Q: A movie stunt actor drops from a helicopter that is 30.0 m above the ground and moving with a…

A: Height of helicopter above the ground (h) = 30 m Vertical component of the initial velocity (u) = 10…

Q: A stone is catapulted at timet 0, with an initial velocity of magnitude 20.6 m/s and at an angle of…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: At time t = 0, the position vector of a particle moving in the x-y plane is r = 5.80i m. By time t =…

Q: When a projectile is fired with a velocity of 815 m/s at an angle of 37º above the horizontal, the…

A: The maximum height of a projectile is given by H=u2 sin2θ2g

Q: A projectile is given an initial velocity of 38.9 m/s at angle of 56.2 degrees with respect to the…

Q: The turd is launched at a speed of 49 m/s at an angle of 63 degrees above the horizontal. How far…

A: Any object thrown from the surface of Earth will follow a projectile motion governed by Newtonian…

Q: Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of å =…

Q: Two projectiles are thrown with the same magnitude of initial velocity, one at an angle with respect…

A: Range of the projectile Thus, complementary angles provide the same range.

Q: A particle initially located at the origin has an accel- eration of a = 3.00j m/s² and an initial…

Q: At what angle with the horizontal should a hunter aim his gun so he will hit a target which is 60m…

Q: A person looking out the window of a stationary train notices that raindrops are falling vertically…

A: Given, Speed = 5.57 m/s Angle = 25 degrees

Q: A pilot wants to fly due north, but finds that he must direct his plane 19.0° to the east to…

A: Given data The velocity of the plane's airspeed is Vpw = 200 km/h. The plane is directed to an…

Q: The vector position of the particle at any time t, The acceleration of the particle at any time t,

A: Given data: The starting time is: t = 0 The final time is: t The starting position is: (1m, 2m) The…

Q: A projectile is given an initial velocity of 44.7 m/s at an angle of 58.8 degrees with respect to…

Q: A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal.…

A: vx=vcosθ=123 m/scos60°=61.5 m/s y component of initial velocity vector. vy=vsinθ=123 m/ssin60°=107…

Q: A projectile (i gás) is to be launched ( ) above the horizontal direction such that its range (R)…

A: Given A projectile is launched at some angle above the horizontal Range is equal to three times of…

Q: A projectile starts from the origin with Initital velocity vector , which makes an angle ), with the…

A: Required : Correct statement for the highest point.

Q: In a volleyball game held in BSU, A CE student player at position X serves the ball from height of…

Q: the projectile is intended to hit a targe + 17.3 m downrange (delta x), how tall should the launcher…

Q: A man can row at 8.5 mi/hr in still water. If velocity of stream is 1.5 mi/hr, at what angle with…

Q: A canon fires its shell out at a speed of 161.4m/s and at an angle of 36 degrees above horizontal.…

Q: bus driver heads south with a steady speed of v, = 20.0 m/s for t, northwest at v2 = 30.0 m/s for t,…

A: Assume the bus initially travels south with velocity v1 = 20.0 m/s for time t1 = 3.00 min and covers…

Q: A projectile is given an initial velocity of 41.3 m/s at an angle of 57.7 degrees with respect to…

A: Given:Initial velocity, u= 41.3 m/s Launch angle,θ = 57.7°Final velocity in Y-direction, V = 11.7…

Q: The operator of a boat wishes to cross a 5-km wide river that is flowing to the east at 10 m/s. He…

A: Given:River is ,d = 5 m wideTime taken to go to the opposite point on shore, t = 15 min…

Q: .A pilot maintains a heading due west with an air speed of 240 km/h. After flying for 30 min, finds…

Q: A projectile is launched from the origin with an initial speed of 20.0 m>s at an angleof 35.0°…

Q: A tennis player hits a ball into the air with an initial velocity of 15 m/s at an angle of 50° to…

A: The initial velocity of the ball, v0=15 m/s The launch angle, θ=50° The acceleration due to…

Q: An airplane that can move at 663 km/h in still air starts heading due east. If wind blows at a…

Q: The given vector represents a hot air balloon that experiences a 0.25 m/s acceleration at an angle…

Q: The helicopter is tracked by radar. The readings at a certain instant are R = 2500m, 0 = 35°, and è…

A: deriving the velocity vector equation in polar form er=∂r→∂r∂r→∂rr→=xi^+yj^=r cosθ i^+rcosθ…

Q: A particle initially located at the origin has an acceleration of a = 3.00j m/s² and an initial…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A ball is fired (álbi) from the ground with an initial velocity of 20 m/s that makes an angle of 30°…

A: Given Initial velocity v=20m/s Angle θ=30

Q: Suppose a projectile is fired from a cannon with velocity vo and angle of elevation 0. The…

A: The given data: The initial velocity v0 = 160 ft/s The distance of the target R0 = 519 ft

Q: A stone is catapulted at time t =0, with an initial velocity of magnitude 20.6 m/s and at an angle…

A: Givenu= 20.6 m/sθ = 43.5°

Q: Jojo is riding a boat to travel across a river whose current has velocity of 1.20 m/s westward. If…

A: To determine the angle, sinθ=vwwvB

Q: From the window of a building, a ball is tossed from a height y0 above the ground with an initial…

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

Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

A car travels due east with a speed of 50.0 km/h.
Raindrops are falling at a constant speed vertically with respect
to the Earth. The traces of the rain on the side windows of the
car make an angle of 60.0° with the vertical. Find the velocity
of the rain with respect to (a) the car and (b) the Earth.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

If you are standing on the free-throw line on a basketball court, the basket is about 4.5 m horizontally from you and it is located around 3m above the floor. What initial velocity vector is required to successfully throw the ball into the basket?
A football player punts the football so that it will have a “hang time” (time of flight) of 4.5 s and land 46 m away. If the ball leaves the player’s foot 150 cm above the ground, what must be the (a) magnitude and (b) angle (relative to the horizontal) of the ball’s initial velocity?
. Given 4 vectors with magnitude of 200 for V1, 200 for V2, and 150 for V3 and 100 for V4. V1 has an inclination of 30*NE, V2 is 37* SE, V3 0*W and V4 is 45*NW. What is the resultant and its direction?
A projectile is fired upward at an angle φ above the horizontal with an initial speed v0. At its maximum height, what are its velocity vector, its speed, and its acceleration vector?
An NFL quarterback throws a pass, for which the launch angle is 29 degrees above horizontal, with an initial speed of 13.9 m/s, and the ball is caught at the same height at which is was released. How far horizontally does the ball travel, in meters, while it is in flight?
At what angle with the horizontal should a hunter aim his gun so he will hit a target which is 60m horizontally away from him and 20 m above him, if the muzzle velocity of the bullet is 400 m/s
A projectile is fired with an initial speed of 40 m/s at angle of 23 degrees above the horizontal on a long flat firing range. Determine (1) the maximum vertical distance reached by the projectile, (2) the total time in the air, (3) the range of the projectile, (4) the velocity of the projectile 2 s after firing.
A projectile is launched from ground level to the top of a cliff which is 195 m away and 155 m high. If the projectile lands on top of the cliff 7.6 s later it is fired, find the magnitude and direction of the initial velocity of the projectile.
A cannon is fired over level ground at an angle of 30 degrees to the horizontal. The initial velocity at this angle is 80 m/s, but this velocity may be separated into a vertical velocity component of 40 m/s and a horizontal velocity component of 69.3 m/s. How far does the cannonball travel horizontally?
In a game war, one team sets base on a cliff 15m high and 60m away from the oppenents base. At what velocity must the attack be launched so that the lower base will be hit? The initial launch is at 20 degrees below the horizontal. If the attcking team launches their attack with velocity of 10 m/s, at what angle and manner should the attack be done?
An archer fish spies a meal of a grasshopper sitting on a long stalk of grass at the edge of the pond in which he is swimming. The fish is to successfully spit at and strike the grasshopper, which is 0.200 m away horizontally and 0.335 m above his mouth. What is the minimum speed at which the archer fish must spit?
From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.60 m/s and angle of 18.0° below the horizontal. It strikes the ground 5.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0.) xi = 0 yi = γ0 (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. vi,x = m/s vi,y = m/s (c) Find the equations for the x- and y- components of the position as functions of time. (Use the following as necessary: y0 and t. Let the variable t be measured in seconds.) x = m y = m (d) How far horizontally from the base of the building does the ball strike the ground? m(e) Find the height from which the ball was thrown. m(f) How long does it take the ball to reach a point 10.0…