Question

5:16 lLTE ) Done 1 of 5 Assessment #1 (Kinematics of a Particle) Rectilinear Motion (Straight linc Motion 3. The position of a point during the interval of time from r otor 6 is given by ** * m. (a) What is the maximum velocity during this interval of time, and at what time does it occur? (b) What is the acceleration when the velocity is a maximum? (20 m/s, 0 m/s 3. A test projectile is fired horizontally into a viscous liquid with a velocity 100 m/s. The retarding force is proportional to the square of the velocity, so that the acceleration becomes a--08r. Derive expressions for the distance D traveled in the liquid and the corresponding time required to reduce the velocity to 50 ms. Neglect any vertical motion. (0.66 m, 0.0125 4. The acceleration of an object is given by function = 2s fuis When - 0, - 1 ts. What is the velocity when the object has moved 2 ft from initial position? (3 ft's 5. A car is traveling at 30 mi/hr when a traffic light 295 ft ahead tums yellow. The light will remain yellow for ss before turning red. (a) What constant acceleration will cause the car to reach the light at the instant it turns red, and what will the velocity of the car be when it reaches the light? (b) If the driver decides not to try to make the light, what constant rate of acceleration will cause the car to come to stop just as it reaches the light? Curvilinear Motion A sailor is stuck on a tropical island and emergency supplies are airlifted to him before a ship can come to his rescue. The supply plane (at an altitude of H-150 ft) is moving horizontally and approaching the island at a speed of v- 200 mph. How far before the island must the supply package be released if it is to just reach the island? 1895 ft? 7. The basketball player likes to release his foul shots at an angle - 50° to the horizontal as shown. What initial speed will cause the ball to pass through the center of the rim? (23.46 ft)