Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level.
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- 3. Th valve of an oil carrying duct shown in the Figure is being closed such that the oil particles moving along the centerline have a time dependent velocity distribution which is expressed as: V=[6(1+0,4x²)(1-0,5t)] 00000 0.3 m Determine the acceleration of an oil particle at x=0,25 m and t 1 seconds.A golfer gives a ball a maximum initial speed of 51.8 m/s. What is the longest possible hole-in-one for this golfer? Neglect any distance the ball might roll on the green and assume that the tee and the green are at the same level. What is the minimum speed of the ball during this hole-in-one shot?m L 4. A box with a mass m = 0.4 kg is released from rest at the top of a curved section of a track that is one quarter of a circle with a radius R = 0.2m. When the box reaches the bottom of the curved track it slides on a horizontal section of the track. There is no friction on the curved section of the track. a. Find the velocity of the box at the bottom of the curved section of the track. b. Find the normal force on the block when it is at the bottom of the circular section of the ramp. If there is a Resistive force F on the horizontal section of the track and is given as a function of speed by F=-4v² c. Write down the differential equation for the speed of the block. 1 d. Show that the solution can be written as: v = 0.5 + 10t
- 143. A satellite is launched from the surface of the earth at the initial speed of 8 km/s. How high will it go before it stops and starts falling back to the earth?As part of an obstacle course, an athlete must kick a soccer ball into a 1 meter wide and 10 meter deep pit such that the ball hits a target at the bottom of the pit. In practice, a dynamics student that is participating in the race kicks the soccer ball such that the soccer ball will bounce off the far wall of the pit 5 meters below the surface and head towards the target. If the velocity of the ball before striking the wall at point at point A is v4 = 2.6i – 10j m, determine the t-component of the ) after striking the wall. The size of the ball and the target ball velocity vector (in are negligible relative to the dimensions of the pit, the gravity acceleration must be considered as g 10 m and the coefficient of restitution at point A is e =0.35. 5 m t 10 m 1m 三
- Assuming negligible atmospheric friction, a launched projectile has a parabolic path, as shown above. Point Q is the path peak and Points P and R are at the same altitude. Identify the correct relationship of the projectile speeds at the three points. O A. vp = VR < VQ O B. VO < VR < vP OC.Vo< vp = VR O D. VR < VQ < vP O E. Vp < VQ < VRDetermine the relationship which governs the velocities of the three cylinders, and state the number of degrees of freedom. Express all velocities as positive down. If VA = 1.21 m/s and vc = 2.30 m/s, what is the velocity of B? Answers: B Number of degrees of freedom: n = VB = i i m/s. The rocket is fired 200 m downfield from an observer at O. When the rocket has climbed to 100 m in height at P, is has a purely vertical velocity of v = 15 m/s. What is r and 8? 1 200 m 100 m