A train moves south at a speed of 30m/s relative to the ground in a rainy weather with wind blowing southward . Each raindrop makes a 70 degree angle with the vertial according to an observer on the ground. However, an observer on the train sees raindrops falling to the ground in a vertical direction. Find a vector expression for the velocity of raindrops relative to the ground.

Q: Two vehicles approach an intersection: a truck moving eastbound at 16.0 m/s and an SUV moving…

A: Part-a Given: Velocity of truck vector form,           vt=16i^ Velocity of SUV in vector form,…

Q: During the Super Bowl, Eagles kicker Jake Elliot kicked a field goal.  When he kicked the football,…

A: GIVEN         Initial velocity of football (u) = 25.4 m/s         launching angle = θ=300…

Q: ryboat raveling in a a speed ve to the water. A passenger is walking with a velocity of 1.67 m/s due…

A:

Q: The equation r(t) = (3t + 5) i+ (4t - 5) j+(4t) k is the position of a particle in space at time t.…

A: Given in question→                       r(t) = 3t+5i^  + 4t2-5j^ + 4t k^ To find →          (a)…

Q: A few seconds after a plane took off it was hit by a missile launched from a distance on the ground.…

A: Given, The path of plane, y=0.0005x2 The path of missile, y2=160x The missile velocity in the…

Q: A boat sails from the pier at Fisherman's Wharf in San Francisco at 3.40 m/s, directly toward…

A: Given: vb=3.4m/s, vkb=-6.4m/s Using the concept of relative velocity, the velocity of the kite rider…

Q: A car is moving on a straight road in a fixed direction at a constant speed of v = 64 km/h with…

A: Given:-  A car is moving on a straight road in a fixed direction at a constant speed of v = 64 km/h…

Q: What is the magnitude and direction of the resultant of these vectors: 100N due south and 100N 30˚…

A: Given: Magnitude of force F1 and F2 = 100 N. Direction of F1 = in south direction. Direction of F2 =…

Q: A student drew the relation between the height h and the square of the horizontal range D2 in the…

A: Let us use the following kinematic equation for the vertical motion of the ball after it reaches the…

Q: A straight river flows east at a speed of 8 mi/h. A boater starts at the south shore of the river…

A:

Q: The skier departs the horizontal ski run with a speed of v=110 km/h, soaring into the air. Upon…

A:

Q: A coordinate axis is painted on a frozen lake.  Several hockey players passing a puck around.  The…

A:

Q: A migrating salmon heads in the direction N 45° E, swimming at 5 mi/h relative to the water. The…

A: Given Data -----  migrating salmon heads in the direction N 45° E. migrating salmon swimming at 5…

Q: A position vector with magnitude 10 m points to the right and up. Its x-component is 6.0 m. What is…

A: We are given a vector. We are given the x component of vector. We have to find the y component of…

Q: Consider the displacement vectors: A = (3i + 3j) m, B = (i - 4j) m, C = (-2i + 5j) m and an unknown…

A: given: A→=3i+3jB→=i-4jc→=-2i+5jR→=0i-7j

Q: A fishing boat heads due northwest at 20.0 m/s across a river with 140° that flows due southeast at…

A: Motion perpendicular are independent of each other. Motion can be uniform or accelerated. Motion is…

Q: The figure below shows two vectors on the left: ū and v. Which of the direction arrows on the right…

A: B

Q: An arrow is fired with an initial velocity v0 at an angle θ0 above horizontal. Assume the arrow…

A:

Q: A skunk takes the two-part walk in the overhead view of this figure: d₁ = 5.00 m, d2 = 8.00 m, 0₁ =…

A: Step 1:Given:d1​=5.00md2​=8.00mθ1​=60.0∘θ2​=30.0∘Unknown:The net displacement of the skunk: d=?Step…

Q: A hiker lost in the woods walks in specific angles in order to find the way out of the woods. Assume…

A:

Q: A position vector with magnitude 20 m points to the right and up. Its x-component is 16 m . What is…

A: Magnitude (r) = 20 m X- component (x)= 16 m

Q: The position of a particle is represented by a vector i of 20 m long and directed with an angle of…

A: Given data: r→=20 m  and  θ=45o The position vector of the particle, in terms of x- and y-components…

Q: A straight river flows east at a speed of 8 mi/h. A boater starts at the south shore of the river…

A: Hey, there are multiple subparts posted, we are authorized to answer three subparts at a time, since…

Q: Vector  A, with magnitude 29.0 units, points in the positive y-direction. Vector  A + B has a…

A:

Q: A plane is flying 32 degrees Northeast with a velocity of 175 m/s. The wind is blowing at 9 m/s with…

A: Given: The velocity of the plane is 175 m/s. The velocity of the wind is 9 m/s.

Q: A car goes east at 90 km/h for 0.75 hours, and then turns on a road heading 30° north of east at 88…

A: Given data The speed of the car in the east direction is vOA = 90 km/h The duration of the car…

Q: Consider the three displacement vectors A=(3-3))m, B=(-4)m, and C=-(-2+ 5)m. Use the component…

A: Given data The vector A is A→=3i^-3j^ The vector B is B→=-4j^ The vector C is C→=2i^-5j^

Q: A straight river flows east at a speed of 11 mi/h. A boater starts at the south shore of the river…

A:

Q: Problem 12: A jet airplane flying from Darwin, Australia, has an air speed of 270 m/s in a direction…

A: Required :  The speed of the plane with respect to the Earth.

Q: Ship A is located 3.8 km north and 2.6 km east of ship B. Ship A has a velocity of 22 km/h toward…

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

Q: Does the acceleration vector always point in the direction in which an object is moving? If so,…

A:

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

A: Solution: Given Values,

Q: A light plane attains an airspeed of 490 km/h. The pilot sets out for a destination 790 km due north…

A:

Q: M

A: Vector M→ makes and angle θ with the vertical axis that is with the y-axis To find : the X component…

Q: A pilot heads his jet due east. The jet has a speed of 450 mi/h relative to the air. The wind is…

A:

Q: A boat is sailing the pacific ocean at 32 km/h of 30 degrees North of West, when it encounters a…

A: Given, Velocity of the ship, vs = 32 kmh 30° N of Wvelocity of wind, vw = 17  kmh 20° S of E

Q: You are climbing the stairs to the second floor with a speed of 3 m/s while a raindrop is sliding…

A:

Q: A space vehicle is coasting at a constant velocity of 19.3 m/s in the +y direction relative to a…

A: the velocity of vehicle along the positive axis after 59.8 s isthen the magnitude of vehicle…

Projectile Motion