Three seconds after automobile B passes through the intersection shown in figure for Q. No. 3, automobile A passes through the same intersection. Knowing that the speed of each automobile is constant, determine (a) the relative velocity of B with respect to A, (b) the change in position of B with respect to A during a 4-s interval, (c) the distance between the two automobiles 2s after A has passed through the intersection.

Q: 3. The rectilinear motion of a particle is governed by the equation a = 6t – 4 where a is in m/s^2…

A:

Q: To study the performance of a race car, a high-speed camera is positioned at point A. The camera is…

A: Given b= 26 m         θi=60° θf= 35°    △t=tf-ti=0.5 sec

Q: At the instant shown, a screw-bar-driven Collar A starts from rest and moves upward with a constant…

A:

Q: In a lake, two boats A and B are leaving Station1 at the same time, Boat A is directed straight to…

A: Given data Boat A has a velocity of 7 m/sBoat B is travelling in the North West direction .It takes…

Q: A Scotch yoke is a mechanism that transforms the circular motion of a crank into the reciprocating…

A: Given data:   *The acceleration of the point A is a=-1.8 sin kt. *The angular velocity of the system…

Q: A ball is thrown upwards from the top of a 50 m high building with an initial velocity of 20 m/s. At…

A:

Q: A car moving with uniform acceleration covers 450 m in a 5 second interval, and covers 700m in the…

A: Given:distance, s=450 mt=5 sagain cover distance, d=700 mnext time=5 s

Q: The acceleration of point A is defined by the relation a = -1.8 sin(kx), where a and x are expressed…

A: Given          a=-1.8sinkxk=3rads

Q: In a boat race shown in Figure 1, boat A is leading boat B by 80 m and both boats are traveling at a…

A: Given, Distance, d=80m=xA-xBVAo=VBo=150km/h=41.67m/sAt time, t=0 the boat accelerate at constant…

Q: ne acceleration of a particle is directly proportional to the time t. At 1=0, the velocity of the…

A: Givena=ktvt=0=16 in/svt=1=15 in/sxt=1s=20 in

Q: 7. The mechanism shown transforms circular motion of the crank into a reciprocating motion of the…

A:

Q: The vertical shaft of the industrial robot rotates at the constant rate w = 1.7 rad/s. At a…

A: Given:- w=1.7 radsh=1.62mh. =0.74msh..=0.17ms2l = 0.41ml. = 0.34msl.. = 0.42ms2h0 = 1.5ml0=2.4m To…

Q: A particle travels along a straight line with a velocity v = (12 – 3t^2) m/s, where t is in seconds.…

A:

Q: Q: A particle is moving on a straight line with an initial speed of (64 m/sec) and deceleration of…

A:

Q: The acceleration of a particle is directly proportional to the time t. At t = 0, the velocity of the…

A: Given that: a = kt where, k = constant at t = 0, v = 400 mm/s at t = 1s, v = 370 mm/s, x = 500 mm It…

Q: Mohammed is driving his car at 80 km/hr speed from Alaya and Ahmed is driving his car at 60 km/hr…

A:

Q: Ex.5.7 The acceleration of a particle is directly proportional to the time t. At t = 0, the velocity…

A: Acceleration of a particle is defined as the rate of change of linear velocity: a=dvdt Since it is…

Q: SAMPLE PROBLEM A motorist is traveling on a curved section of highway of radius 2500 ft at the speed…

A: Given: The radius of path, r = 2500 ft The speed of motor, u = 60 mi/h = 88 ft/s The time given, t =…

Q: Car A is traveling at a constant speed of vA = 130 kph at a location where the speed limit is 100…

A:

Q: 1. A ball A is thrown vertically upward from the top of a 30-m high building with an initial…

A:

Q: A radar system Is used to track a new experimental space launch vehicle. Early In the vehicle's…

A:

Q: Two cars, A and B, started at the same time and location. Car A started from rest and moved with an…

A: Given dataCar A and Car B started from restHence, intial velocity of car A = uA = 0Initial velocity…

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A:

Q: Example 7. Knowing that at the instant shown block A has a velocity of 2 ft/s to the left and an…

A:

Q: Racing cars A and B are traveling on circular portions of a race track with the speeds indicated in…

A: VA= 162 kmph = 45 m/s VB= 144 kmph = 40 m/s

Q: A ski jumper starts with a horizontal take-off velocity of 25 m/s and lands on a straight landing…

A:

Q: (a) The ball is kicked from point A with the initial velocity v(a)=10 m/s Determine the: (a) the…

A:

Q: rticle traveling in a straight line is given by v=(6t−3t2)v=(6t−3t2) m/sm/s, where tt is in seconds.…

A:

Q: A spring AB is attached to a support at A and to a collar (Figure 2). The un-stretched length of the…

A:

Q: A radar system is used to track a new experimental space launch vehicle. Early in the vehicle's…

A: Angular velocity :  ωy = dβ / dt = 28o / s ωy = 0.488692 rad / s Similarly ;  ωγ = dγ / dt = 40o / s…

Q: block B are € Example: Collar A and connected by a cable passing over three pulleys C, D, and E as…

A:

Q: The acceleration record shown was obtained for a small airplane traveling along a straight course.…

A: At x=0, t=0,v=60 m/s  You can see the above graph the velocity is 60 m/s till 6 seconds. from 6 to 8…

Q: The displacement x of a particle by time is given by the expression  x = 4 cos (3.0πt + π) where x…

A: Given data,  x=4Cos(3πt+π)  x is in meters and t is in second.

Q: Mohammed is driving his car at 80 km/hr speed from Alaya and Ahmed is driving his car at 60 km/hr…

A: Option c  36.036 s

Q: The system shown starts from rest, and the length of the upper cord is adjusted so that A, B, and C,…

A: Given Data After 2seconds yB/C = 280mm  vB/A = 80 mm/s yA-(yA)0 =160 mm yB-(yB)0 = 320 mm aB>120…

Q: At the instant shown, a screw-bar-driven Collar A starts from rest and moves upward with a constant…

A:

Q: A particle moves in accordance with the equation; S= 32 + 24t – 2t°. Where S in meter and t in…

A:

Q: Q No 1:  The position of a particle moving along the x-axis is given by x=A+B t3,              where…

A: Hi and thanks for the question. Since you have asked questions with multiple subparts, we will solve…

Q: A stone A is dropped from rest down a well, and at time t, another stone B is dropped from rest.…

A: given:d=80mtl=1sg=9.81m/s2

Q: PROBLEM 11.140 B A motorist starts from rest at Point A on a circular entrance ramp when t = 0,…

A: The speed at point C is - vc = 100km/hr = 27.78ms The distance covered to reach point C is- sc=2πR4…

Q: For the helicopter of Prob. 11.168, it was found that when the helicopter was at B , the distance…

A: r0=300ft     r4=3320 ftθ0=20°    θ4=23.1° From the diagram…

Q: P2. A ball is kicked from the origin with an initial speed of v1, = 25.0 m/s, at an angle 0 with the…

A:

Q: A ball is tossed with a velocity of 10 m/s directed vertically upward from a window located 20 m…

A: Givenu=10m/sa=g=-9.81 m/s2Now we havev2=u2-2gh0=100-2×9.81×hh=5.09≈5.1 mThus the maximum height the…

Q: 1. A particle is moving in a straight line with the acceleration shown on the graph. Knowing that…

A:

Q: 6. The speed of a particle moving in a circle with radius 2.0 m increases its speed constantly at a…

A: Given data  radius of circle (R) = 2.0 m  tangential acceleration (at) = 4.4 m/s2 total acceleration…

Q: A burglar car 'A' has started with an acceleration of 3.8 m/s, and police car B starts after 4…

A: Given data  acceleration of burglar's car (aa) = 3.8 m/s2  velocity of police car (vb) = 125 km/hr =…

Q: An accelerometer record for the motion of a given part of a mechanism is approximated by an arc of a…

A: Show the a-t curve of accelerometer record as shown below.                              Figure:1

Q: PROBLEM 11.12 The acceleration of a particle is defined by the relation a = kt². (a) Knowing that…

A:

Q: A car moving with uniform acceleration covers 450 m in a 5 second interval, and covers 700 m in the…

A: Given, Distance covered in first 5 s = d1 = 450 m Time in first 5 s = t1 = 5 s Distance covered in…

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.