12–121. The car passes point A with a speed of 25 m/s after which its speed is defined by v = (25 – 0.15s) m/s. Determine the magnitude of the car's acceleration when it reaches point B, where s = 51.5 m and x = 50 m. 12–122. If the car passes point A with a speed of 20 m/s and begins to increase its speed at a constant rate of a, = 0.5 m/s?, determine the magnitude of the car's %3D acceleration when s = 101.68 m and x = 0. y = 16 – 625' B

Q: A car traveling along the straight portions of the road has the velocities indicated in the figure…

A:

Q: 12–82. The roller coaster car travels down the helical path at constant speed such that the…

A: Given Data: The x coordinate of the position is given as x = c sin(kt) The y coordinate of the…

Q: *12-152. A particle P travels along an elliptical spiral path such that its position vector r is…

A: The position vector of particle P is given as, On differentiating position vector with time, the…

Q: passes point A with a speed of 20 m/s and begins to increase its speed at a constant rate of a_t =…

A:

Q: *12–196. The motor at C pulls in the cable with an acceleration ac = (3r²) m/s², where t is in…

A: Write the given data: Draw the free body diagram: Where point C represents the movement of the…

Q: *12–128. The car has an initial speed v, = 20 m/s. If it increases its speed along the circular…

A: here now ,,     velocity at s=25m        at=0.8s        a=vdvds∫ads= ∫vdv∫0s0.8 sds =…

Q: R12-7. The truck travels in a circular path having a radiuss of 50 m at a speed of v = 4 m/s. For a…

A:

Q: 12–135. When t= 0, the train has a speed of 8 m/s, which is increasing at 0.5 m/s². Determine the…

A: Given ,         Speed of train at t=0 is u=8m/sec         acceleration of the train a=0.5m/sec2…

Q: The motorcycle is traveling at a constant speed of 60 km/h. Determine the magnitude of its…

A:

Q: The car moves in a straight line such that for a short time its velocity is defined by v = (3t2 +…

A: Given Data: Equation of velocity, v=3t2+2t

Q: F12–29. If the car decelerates uniformly along the curved road from 25 m/s at A to 15 m/s at C,…

A: tangential acceleration (at) = on integrating both sides vc2 = va2 + 2*at*(sc - sa) (15 m/s)2 = (…

Q: 12-144. The airplane flies along the horizontal circular path AB in 60 s. If its speed at point A is…

A:

Q: 12-78. A rocket is fired from rest at x = 0 and travels along a parabolic trajectory described by y²…

A:

Q: If the motorcycle has a deceleration of at = -(0.001s) m/s^2 and its speed at position A is 25 m/s,…

A: Given data: at=-0.001s m/s2VA=25 m/s Need to determine the magnitude of its acceleration when it…

Q: The sprinter begins from rest at position A and accelerates along the track. If the stationary…

A: The question can be illustrated as follows:When the sprinter passes the 71-meter mark, the…

Q: *12–216. If block B is moving down with a velocity vg and has an acceleration ag, determine the…

A: Given data To determine the velocity and acceleration of block A interms of the above parameters

Q: *12-72. The velocity of a particle is given by v = {16ri+ 4r'j + (51 + 2)k} m/s, where t is in…

A:

Q: 12–211. The roller at A is moving with a velocity of VA = 4 m/s and has an acceleration of a = 2…

A: Given data as per question velocity of roller at A= 4 m/s acceleration = 2 m/s2

Q: 12–225. Cars A and B are traveling around the circular race track. At the instant shown, A has a…

A: Given: The speed of car A, VA = 90 ft/s The acceleration of car A, aA = 15 ft/s^2 The speed of car…

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

A:

Q: 10) The motorcycle is traveling at 1 m/s when it is at A. If the speed is then increased a v = 0.1…

A:

Q: 12–227. At the instant shown, cars A and B are traveling at velocities of 40 m/s and 30 m/s,…

A: Ques:- 12.227 Vb/a = Vb - Va Vb/a =  [(30 Sin 300 - 0) i + (30 Cos300 - 40) j ]           = (15 i -…

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 vehicle travels over the hill described by y=(-1.5 x 10-³ x²) ft. If it has a constant speed of…

A:

Q: *12-48. The race car starts from rest and travels along a straight road until it reaches a speed of…

A: Note from the diagram that the velocity of the for time interval 0-4s is v = 3.5t. Acceleration is…

Q: 12-55. An airplane traveling at 70 m/s lands on a straight runway and has a deceleration described…

A: Solution: Given Data: V=70 m/s   To Find: (a) The time t' and the distance traveled. (b) Construct…

Q: = 0 and The man pulls. the boy up to the tree limb C by walking backward. If he starts from rest…

A: Calculated the speed of the boy at the instant yB=4m.

Q: The collars ܣ and ܤ are joined by the 8-in. bar. Given that Va=0.3 m/s and aA= −0.6 m/s^2 when…

A:

Q: 12-54. The v-t graph for the motion of a car as it moves along a straight road is shown. Draw the…

A: From the graph: From t = 0 sec to 5 sec,v=0.6 t2From t = 5 sec to 15 secv=-1515-5t+Kv=-1.5t+KAt t=0,…

Q: Determine the velocity of the collar at this instant.

A: To find Velocity of collar

Q: *12-228. At the instant shown, the bicyclist at A is traveling at 7 m/s around the curve on the race…

A: To Find :The relative velocity and acceleration of A with respect to B at this instant Given : The…

Q: 12-9. A particle moves along a straight line such that its position is defined by s (t- 3t2 + 2) m.…

A:

Q: 2/192 Train A travels with a constant speed UA 120 km/h along the straight and level track. The…

A:

Q: 12–178. The car travels along a road which for a short distance is defined by r= (200/0) ft, where 0…

A: Given, velocity of car at a point around a curve, where θ=π3 radians and radial distance, r=200θ ft,…

Q: 12-50. The car starts from rest at s = 0 and is subjected to an acceleration shown by the a-s graph.…

A: Given Equation for acceleration and distance a = – 0.04s +24 To find Velocity distance curve of the…

Q: A train travels at v = 60(1-e¹) ft/s. Determine the acceleration in 3 s.

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: F12–27. The boat is traveling along the circular path with a speed of v = (0.0625²) m/s, where t is…

A: Given Data: The speed of the boat is v=(0.0625t2) m/s. The time is t = 10 s. The radius of the…

Q: A particle is constrained to travel along the path. If x = (4t4) m, where t is in seconds, determine…

A:

Q: 12-85. The flight path of the helicopter as it takes off from A is defined by the parametric…

A: Given data: fight path of the helicopter as it takes off from A Parametric equation, x=2t2 and,…

Q: Starting from rest the motorboat travels around the circular path with radius of curvature 50 m, at…

A: Given:r=50 mv=0.8t m/sS=20 m

Q: 12–115. The automobile is originally at rest at s = 0. If its speed is increased by i = (0.0512)…

A: Given: The expression for the acceleration is v˙=0.005t2 ft/s2 Calculate the acceleration for t=18…

Q: 12-57. The dragster starts from rest and travels along a straight track with an…

A: The kinematics: We know that, v=dsdt and a=dvdt From the above equations, we get v.dv=a.ds

Q: A block moves outward along the slot in the platform with a speed of r = (4t) m/s, where t is in…

A: Radial velocity and transverse velocity: A velocity is called radial velocity when it is acting in…

Q: = 5t If the motor pulls the rope at a speed of Um m/s, where t is in seconds. Determine the velocity…

A: