An object moves in the x-y plane with a constant acceleration of 2i +3j meters per second squared. The object starts at the origin with some initial velocity. After four seconds (4 seconds) the velocity of the object is 2i + 8j meters per second. Determine the object’s initial velocity. Leave answer in i-j notation. Determine the position of the object at time, t = 4 seconds. Leave answer in i-j notation.

Q: A particle moves along a horizontal coordinate line in such a way that its position time t is…

A:

Q: A horse canters away from its trainer in a straight line, moving 45 m away in 8.7 s. It then turns…

A:

Q: A particle's position is given by: S(t) = 6t^(13/6) - 4t^(9/4) + 11 Where: tis in s and S is in m.…

A: Concept used: Velocity is rate of change of distance or position of particle.

Q: A horse canters away from its trainer in a straight line, moving 44 mm away in 8.5 ss . It then…

A:

Q: A particle leaves the origin with initial velocity v0= 12i + 14j m/s, undergoing constant…

A:

Q: Based on the velocity and time graph given  how far does the object move in the interval from t=0…

A:

Q: Problem 2: The position of a particle is given by the following expression, where t is time measured…

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

Q: A particle is initially moving along the positive x-axis at a speed of 10.3 m/s. After 2.30 s, the…

A:

Q: A muzzle-loading rifle fires 22LR bullets such that as they travel down the barrel of the rifle…

A:

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: rabbit is moving in the positive x-direction at 1.50 m/s when it spots a predator and accelerates to…

A:

Q: The graph is a particle's position along x axis versus time. What are the signs of the particle's…

A:

Q: In the x direction, an object has an initial velocity component of 4.98 m/s and an acceleration of…

A: We are given with initial components of velocity and components of acceleration in x and y…

Q: The position of a particle is given by 7(t) = t² i + lIn(t)² j + sin nt k where t is measured in…

A: r→=t2 i^ + ln(t2 )j^ + sin πt k^velocity, v→=dr→dt= 2t i^ +2tj ^+πcosπt k^acceleration, a^=dv→dt=2…

Q: The velocity of a particle is given by v = 23t2 - 110t + 52, where v is in meters per second and t…

A: Given data: Velocity of particle, v=23t2-110t+52

Q: Ed drives back and forth along Main Street, which runs east-west, stopping a few different places to…

A: Given data:  Time (t) = 1.75 hours Total distance (d) = 4.2 km Net displacement (ΔX) = -1.2 km

Q: A car with an unknown initial velocity accelerates over the course of 6.00 s to a velocity of 30.0…

A:

Q: A woman on a bridge 81.2 m high sees a raft floating at a constant speed on the river below. She…

A: The height of the bridge is The initial speed of the stone is The initial position of the raft is…

Q: The velocity of an object as a function of time is given by v(t) = b + ct - et², where v and t are…

A: Data we have v(t)=b+ct-et2 To find instantaneous acceleration when t=0.63s

Q: A ball has an initial velocity of 1.50 m/s along the x-axis. Starting at t0=0, the ball receives an…

A: The velocity of an object accelerating is given by v= u+at, where u = initial velocity, a =…

Q: are on the roof of a Physics Building, 29 m above the ground. Your physics professor, who is 1.99 m…

A: Distance =speed × time

Q: The velocity of a particle which moves along the s-axis is given by v = 13 + 8t 4/3 where t is in…

A:

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: A particle moves along the +ve direction of x-axis. Its position x depends on time t as…

A: Given:Position of particle (x)=at3+bt2+c+d

Q: m x = 2.5 m – (6.0) - (60")+(30):² m t +(3.0 t2 s². The object is at rest at t = 1 s. The object is…

A:

Q: object is dropped from a neight zero) and it hits the ground after a time t₁. A second object the…

A:

Q: The velocity of a particle is given by the function v(t)=t^2-7t+1027 , where the velocity is…

A: Given Data : The function of velocity is given as vt=t2-7t+10 The displacement of the particle in…

Q: At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of Vo =i+…

A:

Q: A F35 fighter-jet is taking off straight up with a constant acceleration from ground 15.1 seconds…

A: Given:Time taken by jet = 15.1 sTime taken by tank = 31.9 sVelocity of jet before taking off =…

Q: A particle moves along a horizontal coordinate line in such a way that its position time t is…

A:

Q: The velocity of a particle moving along the x-axis varies in time according to the expression v(t) =…

A: The variation of velocity with time v(t) = α - βt2 α = 52.9m/s , β = 3.72m/s3 To find: Accleration…

Q: The graph is a particle's position along x axis versus time. What are the signs of the particle's…

A: The signs of the Particle's velocity at t=0, 1, 2 and 3 s.given,Position-time graph.

Q: It moves at constant speed v. At time t₂ = 3 s, the particle's acceleration is a₂ = 31-7ĵ m/s². What…

A: We can start by using the given accelerations at times t1 and t2 to find the angle between them.…

Q: 1. A biologist is investigating the behavior of ants. The graph below shows the position of an ant…

A:

Q: A hot-air balloonist, rising vertically with a constant velocity of magnitude v = 5.00 m/s, releases…

A:

Q: A soccer ball is kicked from the ground with an initial speed of 19.6 m/s at an upward angle of…

A:

Q: A rabbit is moving in the negative x-direction at 1.50 m/s when it spots a predator and accelerates…

A: Given: Initial velocity of rabbit in x direction (vx) = -1.5 m/s. Final velocity of rabbit in y…

Q: Problem 1 The velocity of a particle moving along the x axis varies in time according to the…

A: 1)Instantaneous velocity in km/hr at t =0 s denoted by v1 is,

Q: An object moves along a straight line with a velocity v = (12 – 3t²) m/s, where t is in seconds.…

A: Instantaneous acceleration:- It can be defined as the acceleration at a particular instant of time.…

Q: In a time of 2.67 h, a bird flies a distance of 86.7 km in a direction 30.2 degrees east of north.…

A: Given data:  Time (t) = 2.67 h Distance (d) = 86.7 km Angle (θ) = 30.2° East of North Required: The…

Q: A rabbit is moving in the positive x-direction at 1.90 m/s when it spots a predator and accelerates…

A: Initial velocity of rabbit (u) = 1.90 m/s in east direction time (t) = 1.80 s final velocity (v) =…

Q: The position of a particle moving along the x axis is given in centimeters by x = 9.72 + 1.62 t³,…

A: The velocity of a particle is the rate of change of position with respect to time. That is,…

Q: ello. I am working on a problem with motion. The questions asks me to calculate the maximum height…

A: Given;-  A person is throwing a ball upward into the air with an initial speed Vo = 10m/s. the…

Q: Current Attempt in Progress A particle moving in the x-y plane has a velocity at time t = 6.82 s…

A: Given: The initial velocity of the object is 5.2i+3.7j m/s. The final velocity of the object is…

Q: 2+ (2.93 m/s2)t I. Find the initial velocity V0x such that the particle will have the same…

A: Given:- The acceleration of a particle is given by ax(t) = -2.03 m/s2+ (2.93 m/s2)t Find:- I. Find…

Projectile Motion