An inns pacition vector is initially d:5i-4j, and 10 later it is b: -2i+ 8,,all in metera What is it's average velouty duing the lOr fom point a to b?
Q: O A stone is thrown vertically upwards at 24.5 on the level with but just beyond cliff ledge. It's…
A:
Q: Find the velocity and acceleration vectors in terms of u, and ug. de r= a sin 40 and 2t, where a is…
A: Formula
Q: A motocyclist rigths an a given distance due north, rights twice that far to the west at the end of…
A: Use Pythagoras theorem dnet2=d12+d22112 m2=d2+2d2 =5d2d2=112 m25d=112 m25 =50.0879 m…
Q: If you know that the polar coordinates of a particle are Acos(wt)=r cwt=0 find the velocity and…
A:
Q: Given that the position vector of a projectile at any time is represented by the equation r(t)=îbt…
A:
Q: The range R is the horizontal posjtion of the projectile at a time that i reaches its peak, that is,…
A: Required : Reason for why t_B = 2 t_A
Q: ) A physicist runs straight south at velocity 8 mi/hr. She decides to change her cours wind is at…
A:
Q: golf ball 60 ms at an ar horizontal distance (from tle launch which te golf ball returns to the gie…
A: We know that this problem is based on a projectile motion. We know that the formula of the flight…
Q: An arrow hirts a target horizontaly lo cated at a distance OF 10 meters after l.2 seconds. t what…
A: Given data: Horizontal distance (d) = 10 m/s Time (t) = 1.2 Required: Initial velocity (Vi)
Q: Use a sketch to show that two vectors of unequal magnitudecannot add to zero, but that three vectors…
A: Sum of two vectors can be zero only when they are anti-parallel. Consider two vectors of unequal…
Q: Two vectors given as a) F, aud F vektors b) F and auale batwean vektors c)F, F find .
A: Given: F1→+F2→=11i^-j^+5k^,F1→-F2→=5i^+11j^+9k^
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: & Civen there vectors : find QA? - B) •C
A:
Q: wct ofnoth 9. A car starts from the origin and is driven 1.2 km south and then 3.1 km in a direction…
A: Analyze the following diagram. The car’s first displacement (vector A) can be represented as, The…
Q: vector of is given by: The position moving point in Plane RCH)= t Costi t sint s Rind (a):: The…
A: Given Value, The position vector of moving point in a plane is:
Q: A ball Is piojected forward at angle 35°, so that the motron of The initral velocty SO parabolic…
A: The first equation of motion is v = u + at where, u is the initial velocity, a is the…
Q: A model rocket is launched at an angle of 35 degrees, with a velocity of 46 m/s. What is the…
A:
Q: A projectile is launched horizontally from the top edge of a 20-m tall building with a voxof 25 m/s.…
A: As in Horizontal projectile, angle with horizontal initially is very very small and it looks like…
Q: An ion's position vector is initially r= 5i – 6j + 2k, and 10 slater it is r= -2i + 8j – 2k, all in…
A: Average velocity = net displacement / total time taken Now, net displacement = final position -…
Q: The position vector of a moving particle is given as Ret)= C오+st + st')i + (니t + yE)j-bCost k Find…
A:
Q: A body moves in space , the location vector r = 2t i +tj +2 k m, How much the velocity of it at 2…
A: Given that, The position of the body, r=2t2i+tj+2k m We know that, Velocity, v=drdt
Q: A brick is thrown upward from the top of a building at an angle o to the horizontal and with an…
A: Given data Time of flight is t. Initial speed is v0 Angle of projection is ϕ Vertical acceleration…
Q: . A baseball K thrown bith an inhal velbaity of 0o ms at an angle of ao.0" above the horizontal, as…
A: In the given problem, the baseball is thrown with an initial velocity of 100 m/s, at an angle of 30o…
Q: 6. t cgclist cides 4.0 fm due east, then n.0km 21° west of northe From this point she rides 4.0 tm…
A: Let the three displacements be denoted by vectors A, B and C.
Q: (I) If Vx = 9.80 units and Vy the magnitude and direction of V. -6.40 units, determine
A: The resultant magnitude will be,
Q: ind the angle tefuaeen the vectors A- ai 1 2a 5 = ai t aai 1 Bak CATE ese f o Utore derine a Ace…
A: Given vectors A→=ai^+2j^B→=ai^+2j^ +3k^ The angle between these two vectors ,
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: Two particles have pasition vectors given by 3. Find a) the relative velocity ) relative…
A:
Q: Drag the cannon downwards so it is at ground level, or 0 mm (which represents the initial height of…
A:
Q: A particle has a position vector given by r(t)= 30t i + (40t - 5t^2)j, where r(t) is in meters and t…
A: Evaluate the instantaneous velocity (v) at the function of time.
Q: - The vector of a moving Position point in plane is given by: R CH)= t Costit sint s Rind spead at a…
A: Velocity of the moving point
Q: Q.2 A placekicker is attempting to make a 58 m ficld gonl. If the launch angle of the football is…
A:
Q: For vectors B = -2î -9i and A =- calculate the fllowing )'AtB (Express r answer in vec Expres your A…
A:
Q: O If R= (i+ (); +(SZ Int)k %3D is the position vector ot aperticale in spuce defermine at tzi (a)…
A: Given- R=21+ti+t33j+2lntk -----------(1)
Q: Given: X - coordinate: x = -5.00sinwt, where w is constant, xis meters, andt is seconds y -…
A:
Q: Given the position vector ~r(t) = t^2ˆi+tˆj in meters, what is the magnitude of the velocity vector…
A: The velocity vector is calculated by taking the derivative of given position vector r(t).
Q: A projectile is lauched horizontally from the top edge of a 20 m tall building with a Vox of 25 m/s.…
A: The acceleration along x axis is zero. As the projectile is launched horizontally at a velocity v0x…
Q: The projectile is launched with a velocity vo. Determine the range R, the maximum height h attained,…
A:
Q: A projectile is launched off of a cliff, 20.0 m above ground level. If the initial velocity is 15.0…
A: Given data: Height of the cliff (h) = 20.0 m Initial speed of the cliff (ux ) = 15 m/s Initial speed…
Q: Vector A>has x and y components of equal magnitude. What canyou say about the possible directions…
A: Draw the diagram for vector A as:
Q: An object is projected at an angle of 600 with the horizontal with an initial velocity of 15 m/s.…
A:
Q: Sir Fabro Wants to subtract the position dis placement Yectors. The magnitude of the two vectors 6=…
A: Draw the free-body diagram of the position vectors.
Q: Birdman is flying horizontally at a speed of 42 m/s and a hiehgt of 59 m. Birdman releases an egg…
A:
Q: In 2007, Michael Carter (U.S.) set a world record in theshot put with a throw of 24.77 m. What was…
A:
Q: and a 1. Velocity is a vector quantity, which means that it has both a
A: Introduction: A vector quantity is a quantity that has both a magnitude and a direction.
Q: A particle moves in the ay plane with a constant acceleraton gven by 4.0j m/s Att-0, ts poution and…
A: Given: Particle's constant acceleration, a→=-4.0 j^ m/s2 Particle's initial position, s1→=12 i^ m…
Step by step
Solved in 2 steps with 4 images
- Check Your Understanding If the average velocity vector of the drone In the displacement in Example 2.7 is u=(15.0i+31.7j +2.5k)m/s , what is the magnitude of the drone’s velocity vector?A bird files straight northeast a distance of 95.0 km for 3.0 h. With the x -axis due east and the y -axis due north, what is the displacement in unit vector notation for the bird? What is the average velocity for the trip?Can the magnitude of a particle’s displacement be greater that the distance traveled?
- Check Your Understanding If the displacement vector of a blue fly walking on a sheet of graph paper is D=(5.00 i3.00 j)cm , find Its magnitude and direction.In 1999, Robbie Knievel was the first to jump the Grand Canyon on a motorcycle. At a narrow part of the canyon (69.0 m wide) and traveling 35.8 m/s off the takeoff ramp, he reached the other side. What was his launch angle?The F-35B Lighting II is a short-takeoff and vertical landing fighter jet. If it does a vertical takeoff to 20.00-rn height above the ground and then follows a flight path angled at 30 with respect to the ground for 20.00 km, what is the final displacement?
- What form does the trajectory of a particle have if the distance from any point Ato point Bis equal to the magnitude of the displacement from Ato B ?Which of the following is a vector a person’s height, the altitude on Mt. Everest, the velocity of a fly, the age of Earth, the boiling point of water, the cost of a book, Earth’s population, or the acceleration of gravity?A vector has zero magnitude. Is it necessary to specify its direction? Explain.
- A long jumper can jump a distance of 8.0 m when he takes off at an angle of 45 with respect to the horizontal. Assuming he can jump with the same initial speed at all angles, how much distance does he lose by taking off at 30 ?A projectile is shot at ahill, the base of which is 300 m away. Theprojectile is shot at 60°above the horizontalwith an initial speed of 75 m/s. The hill can beapproximated by a plane sloped at to thehorizontal. Relative to the coordinate systemshown in the following figure, the equation ofthis straight line is y= (tan 20°) x−109 in SIunits. Where on the hill does the projectileland? How long does the trip take?A man starts walking north at 4f t/s from a point P. Five minutes later a woman starts walking southat 5f t/s from a point 500f t due east of P. At what rate are the people moving apart 15m after the womanstarts walking.