On another planet, a marble is released from rest at the top of a high cliff. It falls 4.00 m in the first 1 s of its motion. Through what additional distance does it fall in the next 1s ? (a) 4.00 m (b) 8.00 m (c) 12.0 m (d) 16.0 m (e) 20.0 m
So, the correct answer is option (c) 12.0 m.
Vertical displacement of a freely falling body is given by the relation, , where Planet acceleration.
In first case, (First 1s)
Travels 4.00 m in the first 1s.
In second case, (after 2s )
Hence, after 2 seconds of travel from rest, the change in position is 16.00 m.
So, the change in position between 1s and 2s is
Hence, the answer is 12 m.
In a women’s 100-m race, accelerating uniformly, Laura takes 2.00 s and Healan 3.00 s to attain their maximum speeds, which they each maintain for the rest of the race. They cross the finish line simultaneously, both setting a world record of 10.4 s. (a) What is the acceleration of each sprinter? (b) What are their respective maximum speeds? (c) Which sprinter is ahead at the 6.00-s mark, and by how much? (d) What is the maximum distance by which Healan is behind Laura, and at what time does that occur?
An object is at x=0 at t=0 and moves along the x axis according to the velocity-time graph in Figure P2.62 .
(a) What is the object's acceleration between 0 and 4.0s ?
(b) What is the object's acceleration between 4.0s and 9.0s ?
(c) What is the object's acceleration between 13.0s and 18.0s ?
(d) At what time(s) is the object moving with the lowest speed?
(e) At what time is the object farthest from x=0 ?
(f) What is the final position x of the object at t=18.0s ?
(g) Through what total distance has the object moved between t=0 and t=18.0s ?
A racing car starts from rest at and reaches a final speed at time t . If the acceleration of the car is constant during this time, which of the following statements are true?
(a) The car travels a distance .
(b) The average speed of the car is .
(c) The magnitude of the acceleration of the car is .
(d) The velocity of the car remains constant.
(e) None of statements (a) through (d) is true.
Try the following experiment away from traffic where you can do it safely. With the car you are driving moving slowly on a straight, level road, shift the transmission into neutral and let the car coast. At the moment the car comes to a complete stop, step hard on the brake and notice what you feel. Now repeat the same experiment on a fairly gentle, uphill slope. Explain the difference in what a person riding in the car feels in the two cases. (Brian Popp suggested the idea for this question.)
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