ball is thrown so that the motion is defined by the equations x = 5.6t    and⁢  y = 2 + 6t − 4.9t^2⁢    where x and y are expressed in meters and t is expressed in seconds. Determine the magnitude and angle of the velocity at t = 1 s

Q: Q3. At this instant, car A travels along a curved path while car B travels along a straight path,…

A: Given, VA=28m/s aA=5m/s2 VB=13m/s aB=4m/s2

Q: The acceleration of a particle is given by a = 4t – 30, where a is in meters per second squared and…

A:

Q: The position of a particle in millimeters is given by s= 70-17t+t²where t is in seconds. Plot the…

A: Introduction: A body's displacement is simply the change in position between two points in time…

Q: The rod OA rotates in the horizontal plane such that 0.48t3 radian, and collar B is sliding outward…

A:

Q: A point moves along the curve y2= 16 x (x and y in meters) in such a manner that the y coordinate of…

A: Given y2=16xy=t2-4tfind velocity point when t=5 sec

Q: This is a multi-part question. Once an answer is submitted, you will be unable to return to this…

A:

Q: The velocity of a particle moving in the x-y plane is given by (6.05i + 5.58j) m/s at time t = 7.50…

A:

Q: Q1. A ball moves along a straight line, starting from the origin. It has an acceleration of a = = (t…

A:

Q: A car starts from rest at s = 0 and travels along a straight road with the speed described: t=0 s,…

A:

Q: 3. 2) At this instant, car A travels along a straight path while car B travels along a circular…

A: Find the relative acceleration of A with respect to B.

Q: ) The velocity of a particle moving in the x-y plane is given by (5.60i + 4.27j) m/s at time t =…

A: Introduction: The pace at which an object's position changes is described by a velocity vector. The…

Q: The particle travels along the path defined by the parabola y = 0.5x², where x and y are in ft. When…

A:

Q: The velocity of a particle traveling along a straight line is v = (3t2 – 6t) ft/sec, where t is in…

A:

Q: The velocity of a particle is v = 200 + 30t 2 + t 4 /2 , where v is in m/s and t is in sec. if the…

A:

Q: The velocity of a particle along the s-axis is given by v = 11s6/5 where s is in millimeters and v…

A: It is very basic question of mechanics. Used concept is kinematics of motion.

Q: A particle moving in the x-y plane has a velocity at time t = 5.92 s given by (3.3i + 6.4j) m/s, and…

A: The velocity at  is The velocity at  is

Q: the position of a particle undergoing rectilinear motion is defined by s=t^3-6t^2-15t+40 where s is…

A: Given: Position s = t^3 - 6t^2 -15t + 40

Q: Q1.If the speed of the motorcycle is v=√(600-0.5s2) where s is in meters measured from A, determine…

A: Given data: The angle between A and B is θ = 30o. The radius of curvature of the path is r = 60 m.…

Q: A particle which moves in two-dimensional curvilinear motion has coordinates in millimeters which…

A:

Q: The position of a particle in rectilinear motion is defined by the relation 2t3 5t2 + 3t +4 where x…

A:

Q: The velocity of a particle moving in the x-y plane is given by (4.32i + 5.97j) m/s at time t = 5.50…

A:

Q: A particle moving in the x-y plane has a velocity v = 6.82i +3.07j m/s at a certain instant. If the…

A: Write the given data. v=6.82i+3.07j m/sa=0.69j m/s2θ=24°

Q: At the instant shown in (Figure 1), the car at A is traveling at 10 m/s around the curve while…

A:

Q: Q1/ A ball is released from the Point A upward with a velocity of 25 m/s. If the ball strikes in the…

A:

Q: The velocity of a particle moving in the x-y plane is given by (5.72i + 7.27j) m/s at time t = 5.22…

A: To find: The velocity v of the particle at t=5.239 s and angle between the average acceleration…

Q: The velocity of a particle which moves along the s-axis is given by s˙s˙ = 30 - 5t2 m/s where t is…

A: Introduction: We utilize the basic concepts of speed and velocity to describe the motion of objects…

Q: A particle moving in the x-y plane has a velocity v = 6.821 +3.07j m/s at a certain instant. If the…

A: Given data: vi→=6.82i+3.07j m/sa→=0.69j m/s2θ=24° Need to determine the amount of time which must…

Q: 2. An unknown particle was observed to be moving on a curvilinear path. The position of the said…

A: Given,   Velocity and acceleration vector can be found by,

Q: The motion of a particle is defined by the relation x = t²(t-3) ³ where x and t are expressed in…

A: (a) To find: The time when the acceleration is zero. Given: The motion of particle is defined as…

Q: A particle moving in the x-y plane has a velocity v = 8.58i +2.14j m/s at a certain instant. If the…

A: Givenv=8.58i+2.14j  m/sa=0.65j m/s2θ=38o

Q: ft The velocity of a car traveling along a straight line is given by v = (4 · t² – 7 · t) where t is…

A: Given:v=4t2-7ts=2 ft  at t=0

Q: The velocity of a particle which moves along the s axis is given by v = 4.1 -2.7t + 3.4t3/2, where t…

A:

Q: e velocity of a particle which moves along the S-axis is given by V=2 -4t +5t^(3/2) where t is in…

A: Given:V=2-4t+5t32 m/s

Q: A particle moves along a straight line such that its displacement at any time t is given by x = (t³…

A: Given, Position as a function of time = x(t) = t3 - 6t2 + 3t + 4   From the position as a function…

Q: Q2: A point moves along the curve y2= 16 x (x and y in meters) in such a manner that the y…

A: Given conditions; Equation of curve , y2=16x  coordinate , y=t2+4t where t is time in seconds.…

Q: A ball is thrown from point A with an initial velocity of va which makes an angle of OA = 30° with…

A: Given: Initial angle is θA = 30° with horizontal. Equation of path is y=−kx2. Final position is B…

Q: The velocity of mass A is defined by the relation v= -0.75*0.10 sin(0.10 t + 2*0.75) where v and t…

A:

Q: A rocket is fired from rest at x = 0 and travels along a parabolic trajectory described by y2 =…

A: Given data: y2=120×103x   max=14t2 Need to determine the magnitude of the rocket's velocity when t =…

Q: Q4. The motion of a car in the first 20 s of its travel is as shown. V (m/s) a. Construct the s-t…

A:

Q: A particle travels in a vertical path according to the relation y= 20+ sin2t + 3 cost where y is in…

A:

Q: An airplane takes off as shown following a trajectory described by equation y= KX2, where K = 2 x…

A: The equation of trajectory isThe value of constant is The velocity when  is

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.