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- In the lab you explored how a lioness can catch a gazelle despite the fact that the lioness' top speed is slower than gazelle's, and gazelle has a distance head start during the chase. The graph below uses the same approximations you did in the lab and assumes that the lioness and the gazelle have constant accelerations until the they reach their top speeds. 30 Velocity, mi ✔20 0 0 5 15 20 Time,s If lioness gave up an unsuccessful chase at the moment she reached her top speed, what was the minimal separation between the gazelle and the lioness at the start of the chase. Use the information given to you on the graph above for all parameters you need to answer the question. Assume that the gazelle had a head start in distance, but no head start in time. Gazelle's head start is greater than 35 10 25 mSanta Claus' sleigh starts from rest and accelerates at a=30+20t, until its velocity is constant at 400 m/s. It then hits an iceberg and the equat ion of the acceleration is a = -0.003 until the velocity decreased to 100 m/s. 1. Compute the time the sleigh reaches v= 400 m/s a. 10s b. 15 s c. 25s d. 20 s 2. What is the total distance Santa Claus traveled? a. 1833.30m b.2757.50m c. 463.10m d. 2295.40 m 3. Compute the total time of travel. a.22.50s b.27.50s c.12.50s d.17.50sA car is parked on a steep incline overlooking the ocean, where the incline makes an angle of 500 with thehorizontal. The parking brakes are defective. The car rolls from rest down the incline 50 m to the edge of a cliff, whenit reaches the cliff the velocity was 30 m/s:a. Find the acceleration of the car when it reaches the cliffb. The velocity of the car when it lands in the oceanc. The total time the car is in motiond. The position of the car relative to the base of the cliff when the car lands in the ocean.
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- r (ms) 4. Consider the following v vs. t graph a. What is the acceleration at: i. t= 11 s? ii. t= 15 s? b. How far, and in which direction, did the object travel: i. ii. from t = 13 to t = 18 s? c. During what time intervals is the object speeding up? slowing down? d. During what time intervals is the acceleration positive? Negative? Zero? from t = 4 to t = 11 s? e (sec) ipB. Solve the problems correctly. Present all solutions. 3. all Upiect ct: 5? 4. The brakes of a car moving at 14 m/s are applied, and the car comes to a stop in 4s. How far does the car go, while it is slowing down from 14 to 10 m/s? 5. The brakes of a car whose initial velocity is 30 m/s are applied, and the car receives an acceleration of -2 m/s². How far will it have gone (a) when its velocity has decreased to 15 m/s and (b) when it comes to a stop? 6. A car starts from rest and accelerates 10 m/s². (a) How far will it travel after 5 seconds? (b) How far will it travel during the sixth second?The motomotorboat starting from rest travels in a straight line on a lake. A.) if the boat aAchieves a speed of 8.0 m/s in 10s, what is the boats average acceleration? B.) then, in 5.0 more seconds, the boat's speed is 12 m/s. What is the boat's average acceleration for the total time?