(I) A car is driven 225 km west and then 98 km southwest (45°). What is the displacement of the car from the point of origin (magnitude and direction)? Draw a diagram.

Q: A projectile is fired in such a way that its horizontal range is equal to 7 times its maximum…

A: Let R denotes the range of the object, H denotes the maximum height, u denotes the initial speed,…

Q: A light plane is headed due south with a speed relative to still air of 185 km/h. After 1.00 h, the…

A:

Q: Initially, an object in uniform circular motion (assume clockwise motion) has a ve vector given by…

A: We know that we have given that the velocity vector as  v0→= -3.0 i^+4.0  m/s  The object is in…

Q: A car P travels along a straight road with a constant speed v = 55 mi/hr. At the instant when the…

A: The given values with suitable variables are listed below. Here, v denotes the car’s speed, θ…

Q: Displacement of a body is a O vector O scalar and vector O scalar O tensor O None of the choices…

A: A physical quantity which have both magnitude and direction is called as Vector. A physical quantity…

Q: A cross-country skier skis 1.0 km north and then 2.0 km east. How far and in what direction is she…

A: Given values: Diplacement along north, sn→=1.0 km Displacement along east, se→=2.0 km

Q: Suppose you are headed toward a p!stray 57 m high. If the angle of the elevation to the top of the…

A: We know, the tangent ratio of an angle in a right triangle is the ratio of lengths of the opposite…

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

A:

Q: A bullet travelig horizontally at a speed of 350m/s hits a board perpendicular to its surface,…

A: Using the kinematic equation, write the expression for the displacement.

Q: The best leaper in the animal kingdom is the puma, which can jump to a height of 12 ft when leaving…

A: The puma jumping to a height of 12 ft when leaving the griund at an angleof 45 ° is a projectile…

Q: A particle move through 3-space in such away that it's velocity is v(t) = i + tj +t²k Find the…

A: Velocity vector V(t) : It is a vector which gives information about the velocity in x, y and z axis…

Q: A projectile is shot from the edge of a cliff 115 m above ground level with an initial speed of 65.0…

A: (a) time of flight

Q: ors d and b in Fig. 3-28 have equal nagnitudes of 10.0 m and the angles are 0, = 30° and 0, = 105°.…

A: here we can use parallel slide of vector and move the  vector b at origin.   then b makes angle 45…

Q: A cab driver heads south with a steady speed of v, = 24.0 m/s for t, - 3.00 min, then makes a right…

A: Initially cab driver heads a steady speed of v1 = 24.0 m/s in south for t1 = 3 min so v1→ = -24 m/s…

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: 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 whale comes to the surface to breathe, and then dives at an angle θ = 16.0° below the horizontal.…

A: Refer the figure below.

Q: Congider two vectors A-Bi-GjB=6k whet s Chgh frrduct dos

A: A=3i -4j B= 6 k dot product A.B= 0  since vector A and B lie in mutually perpendicular planes

Q: A projectile can have the same range R' for two angles of projection. If 'T,' and 'T,' to be time of…

A:

Q: In Fig. 3-27, a heavy piece of machinery is raised by sliding it a distance d =12.5 m along a plank…

A: (a) Use the trigonometrical identity sine in the right-angle triangle to determine vertical…

Q: Imagine you want to measure the height of an inaccessible mountain peak on an island in the South…

A: The boat travel 25 km in south east direction at 37 degree.

Q: Find the length and direction (when defined) of u xv and v xu. u = 5i - 2j - 6k, v = 6i – 6k The…

A: Given: u=5i - 2j -6k v=6i -6k   To find length and direction of (1)  u×v (2) v×u

Q: v = [(3 - 1)i + 2j ) m s' When t = 0, the particle is at the origin. The position vector of the…

A:

Q: A boat sails 100 km east then 200 km 60o south of east. How far and which way is it from the origin?

A: The required total traveled distance is,

Q: The figure shows the path taken by a drunk skunk over level ground, from initial point i to final…

A: Given : d1 = 4.40 m, d2 = 7.10 m, d3 = 13.0 m and θ1 = 30.0°, θ2 = 51.0°, θ3 = 77.0°

Q: 4. If two vectors of a distance of 32 m are pointing at opposite directions wherein one is pointing…

A: Displacement is defined as shortest distance between initial and final position.Displacement is a…

Q: a cyclist is riding at a speed of 18km/h . as he approaches a circular turn on the road of radius…

A: Given: speed of cyclist, v = 18 km/hr = 18000 / 3600 m/s = 5 m/s radius of circular turn, R = 5 m…

Q: "If an object is moving eastward and slowing down, then the direction of its velocity vector is.…

A: given :-  object is moving eastward  object is slowing down

Q: A particle under goes the folowing displacement, (3.5m) south, (8.2m) northeast and (15m) west.…

A: Let us consider the 8.2 m vector displacement as the hypotenuse of a right angled triangle with a…

Q: If a boat points its prow directly across a river, and its engine has one speed of 8.22 m/s. What is…

A:

Q: uber eats driver-completes her route by traveling 167 m in a direction 30⁰ north of east, 140 m 20 ⁰…

A:

Q: A projectile is fired with an initial velocity of 193.2 ft per sec downward at an angle of 30° to…

A:

Q: For vectors B = -2î -9i and A =- calculate the fllowing )'AtB (Express r answer in vec Expres your A…

A:

Q: A train 4.00 x 102 m long is moving on a straight track witha speed of 82.4 km/h. The engineer…

A: The equation of motion is given by,

Q: Two trains S and T are moving at constant speed, S at 50kmh¯1 NW and T at a speed v, kmh-1 due W.…

A:

Q: A kid kicks a ball in such a way that the successive displacement of the ball are 6.00 m to the…

A: The situation is shown in the diagram below.

Q: A football is kicked on a level field with an initial velocity of 38.0 m/s with an angle of…

A: Given,

Q: wct of noth 9. A car starts from the origin and is driven 1.2 km south and then 3.1 km in a…

A: Given: The first displacement is 1.2 km. The direction is toward the south. The second displacement…

Q: If Ā = (3, 0) and B=(-2, 1), then the direction of Å + B is equal to 45°. و صواب

A: Hai, since there are multiple questions posted, we will answer the first question. The vector A→ is…

Q: Determine the resultant in Ib and its direction. 50 downward 60 lb upward O 100 lb downward O None…

A: Given:

Q: A car travels 40km due west and 50km in a dir X component of the resultant displacement (ir

A: