(a) Calculate the average to 5.00 s. (b) Calcul r 0 and t 5.00s. (c) D motion be
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(a) Calculate the average to 5.00 s. (b) Calcul r 0 and t 5.00s. (c) D motion between 0 and 2.18 CALC The positi under microprocessor (4.80 m/s)r (0.100 m/sFind its position and acceler- ation at the instants when the car has zero velocity. (b) Draw x-r, r the time interval 0 tantaneous acceleration for and a,-t graphs for the car's ont bumper of a test car given by x() 2.17 m+ t, and a-t graphs for the motion of the bumper between and t 2.00 s. 0 Section 2.4 Motion with Constant Acceleration 2.19 An antelope moving with constant acceleration covers the distance between two points 70.0 m apart in 6.00 s. Its speed as it passes the second point is 15.0 m/s. What are (a) its speed at the first point and (b) its acceleration? shows 2.20 BIO Blackout? A jet fighter pilot wishes to accelerate reet car from rest at a constant acceleration of 5g to reach Mach 3 (three times the speed of sound) as quickly as possible. Experimental tests reveal that he will black out if this acceleration lasts for more than 5.0 s. Use 331 m/s for the speed of sound. (a) Will the period of acceleration last long enough to cause him to black out? (b) What is the greatest speed he can reach with an acceleration of 5g before unction he blacks out? verage 2.21 A Fast Pitch. The fastest measured pitched baseball 20.0 s; left the pitcher's hand at a speed of 45.0 m/s. If the pitcher was in raph in contact with the ball over a distance of 1.50 m and produced con- pful to stant acceleration, (a) what acceleration did he give the ball, and utes at (b) how much time did it take him to pitch it? 2.22 A Tennis Serve. In the fastest measured tennis serve, cquet at 73.14 m/s. A served tennis ball is typi- otion, cally in contact with the racquet for 30.0 ms and starts from rest by Assume constant acceleration. (a) What was the ball's acceleration when during this serve? (b) How far did the ball travel during the serve? 2.23 BIO Automobile Air Bags. The human body can sur- will vive an acceleration trauma incident (sudden stop) if the magni- tude of the acceleration is less than 250 m/s2. If you are in an automobile accident with an initial speed of 105 km/h (65 mi/h) and are stopped by an airbag that inflates from the dashboard, over what distance must the airbag stop you for you to survive along the ball left the ra rt the crash?Explanation / Answer
2.19
Given that velocity V = 15.0 m/s time t = 6.00 s (a) speed at first point a = V / t (apply V = u+at) = 15/6 = 2.5 m/s2
(b) so for its acceleration use V2 - u2 = 2as u2 = (15)2 - (2 * 2.5 * 15) u2 = 150 ==> u = 12.24 m/s
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