A particle moves in the xy-plane with a constant acceleration given by a = -4 j. At t= 0, the position of the particle is ř = 10 î m and the velocity is : v = (-2 î + 9 j) m/s. a) What is the distance from the origin to the particle at t= 3.0 s? b) What is the direction of the particle at t = 3 sec.? c) What is the speed of the particle at t = 3 sec.?

Q: A seagull flies at a velocity of 9.5 m/s relative to the air straight into the wind. vSA = 9.5 m/s…

A: vAE=vSE-vSA=dt-vSA=5.6 km103 m1 km24 min60 s1 min-9.5 m/s=-5.6 m/s vSE is the speed of seagull…

Q: chapter 4.3 5) The position of a particle moving along the y axis, starting from the origin at t =…

A: Instantaneous speed is explicit  as the rate of change of position over a very short period of time…

Q: An object is propelled from the origin with acceleration ? =(4.00?̂+2.00?̂) ?/?2 and initial…

A:

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

A:

Q: rad rad 1. A particle has a position function 7 = 1m * sin ( 2.0dd t) î + 1m * cos %3D a) What is…

A: The position vector of the particle is given by the equation r=1sin2ti^+1cos2tj^r=sin(2t)i^+cos2tj^…

Q: 1. Oscar throws a ball toward a wall with a speed of 25 m/s at an angle of 40 degrees above ground.…

A: Given, initial speed of the ball, u = 25 ms angle at which it projects, θ= 40° wall is at, R = 22 m…

Q: 4. The acceleration of a particle is given by a = Avt where A = 2.0 m/s5/2. At t = 0, v = 7.5 m/s…

A: Acceleration is given by : a = At where A = 2 ms52Initial velocity (at t = 0) = 7.5 msInitial…

Q: On the apollo 14 mission to the moon, astronaut Alan Shepard hit a golf club improvised from a tool.…

A: Initial speed (v) = 25 msLaunch angle (θ) = 26o

Q: At time t=0.0 s a particle is located at x = 4.0 m and y = 1.0 m. The particle has an initial…

A: Given: Particle's initial position at time t=0 s is given as x=4 m and y=1 m. Particle's initial…

Q: Someone standing on top of a building throws a ball with a velocity of 16m/s at an angle θ = 42∘.…

A:

Q: An ion's position vector is initially 7 = (-3,9 m )i + (-8.6 m )j + (-3.4 m )k, and 9.3 s later it…

A:

Q: 1. A particle initially located at the origin has an acceleration of a = 3j m's. and an initial…

A: Given data: The acceleration of the particle is, a→=3 m/sj^ The initial velocity of the particle is,…

Q: At time t = 0, a particle has a velocity of m a(t) v = 4.00. The following graph shows the particles…

A: Dear student The area under acceleration- time graph gives us the total change in velocity of the…

Q: A ball rolls off a horizontal roof. The edge of the roof is 14.0 m above the ground, and the ball…

A:

Q: You walk in the direction of the unit vector (1, 0, 0) a distance of 24 m at a constant speed of 3.0…

A:

Q: A seagull flies at a velocity of 8.5 m/s relative to the air straight into the wind. vSA = 8.5 m/s…

A: Given:- Velocity of the bird with respect to air is vSA=8.5 m/s Time  t=23 min  =23 min×60 s1 min…

Q: A triathlete on the swimming leg of a triathlon is 120.0 m from the shore (a). The triathlete's bike…

A: It is given that,Distance a: a=120 m.Distance b: b=90 m.Distance (x+y): (x+y)=225.6 m.Speed in…

Q: An object’s position as a function of time is x(t) = 9 m + 1.5 m/s t– 3 m/s^2 t^2 a. Calculate the…

A: Given  x(t)=9 + 1.5t- 3t2 Now We find velocity and acceleration as a function of time…

Q: A particle moves along two dimensions based on the following position vector r= [2.0 m + (3.00 m/s)f…

A:

Q: Lately, Jason has been taking drivers' ed so that he can get his license. However, he's also been…

A:

Q: A robot has been programmed so that it has an acceleration given by a = 07 - Btj in the coordinate…

A: This is a question from the 2 dimensional motion of a particle, its answers can be given as…

Q: At the equator, the radius of the Earth is approximately 6370km. A jet flies at a very low altitude…

A:

Q: A hiker walks 2.55 km south and then 2.75 km east, all in 4.00 hours. a. calculate magnitude (in…

A: Given, a hiker walks 2.55 km south and then 2.75 km east, all in t=4.00 hours.

Q: A speedboat moves on a lake with initial velocity vector vx = 8.65 m/s and v1 y = -2.21 m/s, then…

A: Final speed of

Q: SITUATION 1. The position coordinate of a particle which is confined to move along a straight line…

A: GIVEN                 S=2t3-24t+6 (in meter)

Q: +9t +3. a. For 0<t<6, find all times during which particle R is moving to the right. b. For 0<t<6,…

A: a) The particle R’s speed can be given as, The time for which the particle’s speed is zero can be…

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

A:

Q: At the equator, the radius of the Earth is approximately 6370km. A jet flies at a very low altitude…

A:

Q: A n C D 02 4 6 position x(m) B 8 10 12 Part (a) What is the distance traveled, in meters, for path…

A: Displacement: The displacement of an object is the difference between its final position and initial…

Q: As the moon moves around the earth at a mean orbital velocity of 1.022 km/s is the moon…

A:

Q: 6. A particle is moving in the xy plane following the velocity v = (4t – t²)i+(3+t)j ft / s. If the…

A: The particle initially at rest i.e. Initial velocity = Vi→ = 0 ft/s The final velocity is given,…

Q: 7. At t = 0, a particle leaves the origin with avelocity of u 9.0m/s j the xy plane with an…

A: Write the expression for the instantaneous acceleration.

Q: A firework is launched with an initial velocity of 30 m/s at an angle of 65 degrees with respect to…

A: (a) To find the horizontal component of the firework’s velocity, just before it reaches the peak of…

Q: A jeep travels a distance d=22.1m in the positive x direction in a time t1=20.2s, at which point the…

A:

Q: A particle has an acceleration of a=2i + (t-1)j The velocity at t=0 is v0=-2i + 0j and is at the…

A: a=2i + (t-1)j The velocity at t=0 is v0=-2i + 0j and is at the origin at t=0 And using equation…

Q: A particle is moved over an XY plane with acceleration components ax = 1.0 m/s2 and ay = -2.0 m/s2.…

A:

Q: vertical eliff throws a ball with a speed of 38 m/s aimed directly at a point 6 m above the base of…

A: Given, Distance from cliff =28m initial speed u= 38m/s height of cliff = 6m   Note: Since we only…

Q: 3.A helicopter blade spins at exactly 100 revolutions per minute. Its tip is 5.00 m from the center…

A:

Q: A cyclist rides down a long straight road at a velocity (in m/min) given by v(t)=400 - 20t, for 0…

A:

Projectile Motion