Taking north to be the positive y direction and east to be the positive x direction, a particle's position is given byr(t) = (20.2m/s)t^i+(5.15 m/s2)t2^jAt what time, in seconds, is the particle traveling exactly northeast?

Q: A squirrel has x- and y- coordinates (-2.0m, 4.2 m) at time t = 0 and coordinates (4.4 m, -1.8 m) at…

A:

Q: A runner runs along the helix r(t) = (cost,sin t,t). When he isat position r( π/2), his speed is 3…

A: To find the acceleration vector

Q: U, m/s Find the displacement 40 of the particle at t=4 sec starting at us = 40 is at the origion.…

A: Area under the velocity - time graph gives the value of displacement of the body. Area under the…

Q: A squirrel has x- and y- coordinates (-2.0 m, 4.2 m) at time t = 0 and coordinates (4.4 m, -1.8 m)…

A: Given Coordinates at t=0 sec are (-2.0 m, 4.2 m) Coordinates at t=4 sec are (4.4 m, -1.8 m)

Q: You are on a train that is traveling at 3.0m/s along a level straight track. Very near and parallel…

A: Draw the schematic diagram of the system.

Q: A rhinoceros is at the origin of coordinates at time t₁ = 0. For the time interval from t₁ to t2 =…

A:

Q: (a) What is the magnitude (in km) and direction (in degrees south of east) of her displacement…

A: The distance moved by the person towards the south, The distance moved by the person toward the…

Q: 3. A man walks 600 m due west and then goes 400 m in a direction 30° northwest. What is his…

A:

Q: Suppose a hiker walked 65 m, 25 degrees east of north. What are the x and y-components of his…

A: Suppose a hiker walked 65 m, 25 degrees east of north. What are the x and y-components of his…

Q: At time t=0, a jogger is heading due east with speed v=1.4 m/s. At time t1=3.0s, she is heading 0=42…

A:

Q: a car is traveling west at 22.5 m/s when it turns due south and accelerates to 40.0 m/s, all during…

A: Given data: Initial velocity (Vi) = 22.5 m/s, towards west Final velocity (Vf) = 40.0 m/s, towards…

Q: airplane with a still air velocity of 250.km/hr flies directly West to a destination that is 400.km…

A: if vectors are opposite their resultant R =A- B

Q: 390 m/s due west at one moment and 450m/s due north 10.0 s later. Find the plane’s average…

A: We know that An airplane is flying 390 m/s due west at one moment and 450m/s due north 10.0 s later.…

Q: magnitude of the acceleration

A: Given: Position vector as r→t=5.05t2, 3.57t3, 3.96t Find: Magnitude of acceleration at time t=1.11 s

Q: A man is lost in a thick forest. Confused and clueless as to what direction to take, he walks a…

A: The net displacement should be zero. A+B+C=0 C=-(A+B) A=5cos25i+5sin25j=4.53i+2.11j…

Q: Question 2: A particle has the following position vector 7 = Ae-ati + Bt³}+Ct²k where A, a, B, and C…

A: Given, r→=A e-αti^ +B t3j^+C t2 k^

Q: For a motion with constant acceleration, the equation of average velocity is (v+vo) _ 2. It is not…

A:

Q: The position of a particle is 7 (t) = (4t"a+ 6y – 2t£) m. a. Determine its velocity and acceleration…

A: r(t) = 4t2i + 6j - 2tk m

Q: The position vector of a particle is given by r (t+1)1 + (t°+1)} m, where t is measured in s. What…

A:

Q: Problem 12: A particle moves in a straight line at a constant speed of 32.3 m/s. What is its…

A:

Q: At time t 0, a particle is at rest in the x-y plane at the coordinates (xo, Yo) = (3, 0) in. If the…

A: At time t=0, the x0, y0 coordinates are (3,0).  The horizontal acceleration is ax=0.62-0.33t…

Q: Question 2: A particle has the following position vector 7 = Ae-ati + Bt³3+ Ct²k where A, a, B, and…

A: Position vector of the particle is, r→=Ae-αti^+Bt3j^+Ct2k^ Velocity is the rate of change of…

Q: The velocity of a particle which moves along the s-axis is given by v=8+10+// where t is in seconds…

A:

Q: hiker walks 4.66 m, E and 6.25 m, N. What is the direction of his resultant displacement?

A: Hiker displacement given as,4.66 m east and 6.25 m Northresultant direction of displacement, θ=?

Q: = At time to = 0s, a jogger is heading due east with speed Vo = 1.4 m/s. At time t₁ = 3.0s, she is…

A:

Q: The superhero, Sashinator, flies directly upwards for 100m in 1 second, then slows down and flies…

A:

Q: The position vector of a particle moving in the xy-plane is given by (At, Bt¹) r = where t is the…

A: Given:Position vector:r= (4.5t, 8.0t4)  a) Magnitude of particle displacement at t = 2 s:r = (4.5t,…

Q: The position vector of a particle is given as r = (t^2-6t+8)i + (t^2-9)j Find the magnitude…

A: Position vector is the vector form of displacement by the body when it is in motion. r→=ati^+btj^…

Q: ASSIGNMENT No. 1: 1. A snowboarder starts from rest at the top of a double black diamond hill. As…

A: The velocity of an object is given as v=dxdt…

Q: y hmax

A: First we apply projectile motion to find intial speed and then apply equation of motion along x and…

Q: The components of the position r(t) of a particle are What is the magnitude of the…

A: To find the magnitude of the acceleration of the particle at time 5.67s, we first need to find the…

Q: The velocity of a particle which moves along the s-axis is given by s = 57 - 8t² m/s where t is in…

A:

Q: An object is thrown straight upward with an initial velocity of 13 m/s. What is the object's maximum…

A:

Q: The acceleration of a particle is given by a = 4t -32, where a is in meters per second squared and t…

A:

Q: After driving around and undergoing a displacement of Ar, = 21.5 km and Ar, = -14.7 km, a driver…

A: The given values are,

Q: The velocity of a particle (in meters per second) is given by v = 16t'i + 4tj + (5t + 2)k, wheret is…

A:

Q: The bacterium Escherichia coli (or E. coli) is a single-celled organism that lives in the gut of…

A: Given,             Zig-Zag constant speed, v = 20 μm/s             Other data in the graph

Q: A particle moving with an initial velocity vo = (10m/s)î and initial position 7, = (4m)î + (2m)j,…

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

Q: The flight path of the particle as it takes off from A is := (2+²) m and defined by the parametric…

A:

Q: A bus makes a trip according to the position-time graph shown in the drawing. What is the average…

A:

Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally…

A: The distance travelled by the nerve impulse is d=1.6m

Q: A vehicle travels at a speed of 4 m/ sec along a horizontal Circular road that has a radius of 50m…

A:

Q: The position vector of a particle at time t is r=cos(t-1)i+sinh(t-1)j+at³k find the condition…

A: Motion can be uniform or accelerated. Motion is relative as it differs in different scenario. The…

Q: The position of a particle is described by r (t3 +4t 4) mm and 0 (t3/2) rad, where t is in seconds.…

A: