If the car passes point A with a speed of 20 m/s and begins to increase its speed at a constant rate of at = 0.5 m/s^2, determine the magnitude of the car’s acceleration when s = 101.68 m and x = 0.

Q: he car is traveling at a speed of 65 mi/hr as it approaches point A. Beginning at A, the car…

A: To given thatSpeed,u=65mi/hr=95.33ft/seccar decelerate,a=7.8ft/sec2a: we know that     s=ut+12at2…

Q: The velocity of a particle moving in a straight line is decreasing at the rate of 3 m/s per meter of…

A: Vi=-3 msec per meter of displacement i.e S=1 mVf=10 msecNow since Vf2=Vi2+2aS

Q: The car travels around the portion of a circular track having a radius of r=500 ft such that when it…

A:

Q: A boat is traveling along a circular curve having a radius of 100 ft. If its speed at t = 0 is 15…

A:

Q: velocity v1 = 2m/s on the direction shown relative to the velocity of wind. If the wind blows him to…

A: Given that, Relative Velocity of butterfly, v1=2 m/secSpeed of the wind, vw=4 m/sec Writing the…

Q: A particle moving along a straight line has an acceleration which varies according to position as…

A: As per our guidelines we are supposed to solve one question per post if multiple questions are…

Q: A particle moving along a straight line has an acceleration which varies according to position as…

A: Find the velocity at 16 ft

Q: If a particle moves along a path such that r = (e^at) m and u = t, where t is in seconds, plot the…

A:

Q: 12-151. The particle travels with a constant speed of 300 mm/s along the curve. Determine the…

A: Write the given equation. Again, differentiate equation (1) with respect to x.

Q: 19-At a given instant the jet plane has a speed of 450 m/s and an acceleration of 45 m/s2 acting in…

A:

Q: Determine the magnitude of the velocity of block C at this instant.

A:

Q: A boat is traveling along a circular path having a radius of 20 m. Determine the magnitude of the…

A: Step 1radius 'r' = 20 mspeed of boat 'v' = 5 m/stangential acceleration at = 2 m/s2

Q: A car is travelling along a horizontal circular curved road that has a radius of 500 m. If the speed…

A: Given data: The radius of the curved road is R = 500 m. The tangential acceleration is at = 3000…

Q: The car passes point A with a speed of 25 m/s after which its speed is defined by: v = (25 –…

A:

Q: A particle moving along a straight line has an acceleration which varies according to position as…

A:

Q: The particle travels along the path defined by the parabola y = 0.6x² . If the component of velocity…

A:

Q: A particle is moving along a straight line with the acceleration a = (18t-9t) ft/s², where t is in…

A: Velocity of a moving body is defined as the change of position(s) with respect to time(t). It is a…

Q: Q1. If the speed of the motorcycle is v = v600 - 0.5s2 where s is in meters measured from A,…

A: Given data: The radius of the path is r = 60 m. The angle is θ = 30o.

Q: A particle moves along the curve y = x- (x/400), where x and y are in ft. If the velocity component…

A: As per given  Y=x-x2/400 Vx=2fts X=20ft We have to  determine the magnitudes of the velocity and…

Q: The velocity of a point mass moving on a curve is v=21+ (2t +20). Determine the equation of the path…

A:

Q: The car is traveling at a speed of 57 mi/hr as it approaches point A. Beginning at A, the car…

A:

Q: When t = 0, the train has a speed of 4 m/s, which is increasing at 0.25 m/s2. Determine the…

A: The given data are: vi=4 m/sa=0.25 m/s2t=15 sρA=300 m Here, vi denotes the initial speed, a denotes…

Q: The speedboat B is cruising to the north at 64 mi/hr when it encounters an eastward current of speed…

A:

Q: When t=0, the automobile has a speed of 36 km/h, which is increasing at 0.8m/s'. The radius of…

A: Given that, Speed of the automobile, v=36 km/h,Acceleration of the automobile, a=0.8 m/sec2,Radius…

Q: When x 10 ft, the crate has a speed of 20 ft/s which is increasing at 6 ft/s. Determine the…

A:

Q: A particle is traveling along the parabolic path y = 0.3x² . If x = 8 m, Vx %3D = 8 m/s, and a, = 3…

A: The calculated magnitude of acceleration at this instant.

Q: At the instant shown, cars A and B (angle between them is 60°) are traveling at velocities of 50 m/s…

A: Given,VA=50 m/s, VB=40 m/sqA=0  and qBt=3 m/s2r=300 m

Q: If a particle moves along a path such that r= (2 cos t) ft and θ= (t/2) rad, where t is in seconds,…

A:

Q: The speedboat B is cruising to the north at 77 mi/hr when it encounters an eastward current of speed…

A: Given data: Speed of boat B = vB = 77 mi/hrCurrent moves eastward at vc = 14 mi/hrThe wind moves at…

Q: The boat is traveling along a circular path with a speed of v = (0.067 t) m/s, where t is in…

A:

Q: The automobile has a speed of 80 ft/s at point A and an acceleration a having a magnitude of 10…

A:

Q: A boat is traveling along a circular curve having a radius of 100 ft. If its speed at t = 0 is 20…

A: Answer: The magnitude of the acceleration at that instant is 8.1358 ft/s2.

Q: The box slides down the slope described by the equation y = (0.05x^2) m, where x=86 is in meters. If…

A:

Q: At the instant shown, Motor A pulls the cord at an initial speed of 10 ft/s which increases…

A:

Q: At the instant shown, the car at A is traveling at 10 m/s around the curve while increasing its…

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

Q: The car is traveling at a speed of 60 mi/hr as it approaches point A. Beginning at A, the car…

A: Given Data Velocity at A is : Va=60 mil/hr =88 ft/sec Deacceleration of car is : Ad=7.7 ft/sec2…

Q: The particle P moves along the parbolic surface with equation y = 4x^2. When x = 0.2m, the particle…

A:

Q: 14 The car C increases its speed at the constant rate of 1.5 m/s as it rounds the curve shown. If…

A: We have to determine the speed u of the car at this point

Q: 2. The van travels over the hill described by y = (-1.5(10-3)x² + 15) ft. If it has a constant speed…

A: The path of the particle is described by the equation y=-0.0015x2+15 Differentiating above equation…

Q: The velocity of a particle moving in a straight line is decreasing at the rate of 3 m/s per meter of…

A: Find the acceleration of the particle.

Q: The jet plane travels along the vertical parabolic path. When it is at point A it has a speed of 200…

A:

Q: Q1 (a) The jet plane A travels along the vertical parabolic path as shown in Figure Q1(a). When it…

A:

Q: The jet plane A travels along the vertical parabolic path as shown in Figure Q1(a). When it reaches…

A:

Q: At a given instant the jet plane has a speed of v = 600 m/s and an acceleration of a = 40 m/s acting…

A: The tangential acceleration of the plane can be determined as,

Q: A particle moving along a straight line has an acceleration which varies according to position as…

A: Given, x= -5ft v= 6 ft/s

Q: 12–154. If the speed of the crate at A is 15 ft/s, which is increasing at a rate v = 3 ft/s² ,…

A: Given, y=116x2 dydxx=10ft=18xx=10ft=108=1.25 d2ydx2x=10ft=18

Q: The velocity of the particle that travels along a straight line is v = (12 - 3t2) m/s, where t is in…

A: Given Data

Q: The rod OA rotates in the horizontal plane such that. At the same time, the collar B is sliding…

A: MOMENT A moment is a movement of the body when a body is rotating on an axis. The moment is also…

Q: The box slides down the slope described by the equation y = (0.05x^2) m, where x is in meters. If…

A:

Q: A car is climbing the hill of slope e1 = 18° at a constant speed v = 41 km/h. If the slope decreases…

A:

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.