1.A boy jumps from rest, straight down from the top of a cliff. He falls halfway down to the water below in 0.756 s. How much time passes during his entire trip from the top down to the water? Ignore air resistance. t = ?
2.An astronaut on a distant planet wants to determine its acceleration due to gravity. The astronaut throws a rock straight up with a velocity of +15.7 m/s and measures a time of 10.5 s before the rock returns to his hand. What is the acceleration (magnitude and direction) due to gravity 3.on this planet? (positive = up, negative = down)
3.The left ventricle of the heart accelerates blood from rest to a velocity of +24.9 cm/s. (a) If the displacement of the blood during the acceleration is +2.08 cm, determine its acceleration (in cm/s2). (b) How much time does blood take to reach its final velocity?
4.You are driving your car, and the traffic light ahead turns red. You apply the brakes for 2.77 s, and the velocity of the car decreases to + 5.44 m/s. The car’s deceleration has a magnitude of 3.62 m/s2 during this time. What is the car’s displacement? x = ?
5.A diver springs upward with an initial speed of 2.82 m/s from a 3.0-m board. (a) Find the velocity with which he strikes the water. [Hint: When the diver reaches the water, his displacement is y = -3.0 m (measured from the board), assuming that the downward direction is chosen as the negative direction.] (b) What is the highest point he reaches above the water?
6.Suppose a car is traveling at +16.4 m/s, and the driver sees a traffic light turn red. After 0.463 s has elapsed (the reaction time), the driver applies the brakes, and the car decelerates at 7.00 m/s2. What is the stopping distance of the car, as measured from the point where the driver first notices the red light?
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