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- We want to find the coefficient of restitution e between the ball and the floor. We will be able to measure the time of flight between subsequent bounces, but not the velocities before and after each impact. Question 1 a. Using the kinematics equation for position, find a relationship between the time of flight tn and the velocity of the ball after the nth bounce. You should obtain a quadratic equation that has two solutions for the time tm, but only one of them represents the time of flight. b. Using the kinematics equation for velocity and the relationship determined in the previous step, find the relationship between the velocity right after the nth bounce and the velocity right before the (n +1)th bounce? c. Given your answers to the previous parts of this question and the definition of €, find the coefficient of restitution e in terms of the subsequent times of flight tn and tr+1.If the ball is initially thrown with a speed of V0=17.5 m/s, what is the x-component of the initial velocity?Question Completion Status: A bullet is fired at an initial velocity of 130 m/s horizontally (0 degrees) at the top of a 123 m tall puilding. Neglecting air resistance, determine the velocity in m/s with which the bullet will hit the ground. Use the value of the gravity in 2 decimal place. Use up to 4 decimal places. NOTE: Do not assume that this is the same problem as the previous question. The numerical values for each question are different.
- 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 < VRQ1/The figure below shows such an LSPB trajectory, where the maximum velocity V = 60 deg/sec. In this case, the times are given as t = 5 sec and t-30 sec. In addition, the joint angles in beginning and the ending q-20 deg and q;= 70 deg, respectively. For these required data, determine the following: 1- The position function and its profile. 2- The velocity function and its profile. 3- The acceleration function and its profile. 4- The function of jerk variable and what is the nature of jerk? 5- The position, velocity, and acceleration at tm=13 sec. 9A ty te 91 9. 9 0 t₁travel Rotation of bar OA is controlled by the lead screw which imparts a horizontal velocity v-20 mm/s to collar Cand causes pin P to along the smooth slot. The velocity of collar Cis decreasing at a rate of 5 mm/s² at the instant in question. Determine the values of 7 and 0, wherer-OP, if h-205 mm and x-165 mm. Answers: WAAAAA mm/s² rad/2
- W Mot X DThe X G dece X x C G dece x S S Stud X E Grac X Grac XE Grac X G mot X G net X G g to X Revi X a classroom.google.com/u/0/c/M]Y4MTUXMDQ3MZQZ/a/MzExODMzNzQwOTQw/details c) What is the average velocity of each car for the first 10s? 4. A car is travelling at 10 m.s when the driver sees a police car. The driver brakes and decelerates at 4 m.s for 2 seconds. After 2 seconds of braking, the driver is confident that the police have not seen him so speeds up again to his original speed in 4 seconds and then maintains his original speed. 10 6. 8. 7. 5. 41 2. 1. 0 1 2 3 4 5 Time (s) a) What is the acceleration when the driver is speeding up again? 9. 7 8 9 10 b) What is lowest instantaneous velocity of the car and at what time does it occur? c) What is the displacement of the car travel under braking? Type here to search 6, 3. Velocity (m/s)Q4/ A rock is dropped from the top of the Eiffel Tower and reached the height of 30m above the ground. The rock height at t sec. was S = 64t3 – 144t? + 108t – 27.Find: a. How long does it take to hit the ground? b. What is the velocity of the rock at the time of the impact?Shaza is trying to jump as high as 2.13m. By the time he wakes up (when his feet do not hit the floor), Shaza-y velocity = 4.0m / s, and center of gravity = 1.25m.A) What is y-acceleration in Shaza times?B) What does it take for Shaza to reach maximum height?C) What is the maximum height of Shaza's center of gravity?