Kinematics Solved Problems

Given this information, is acceleration a vector or a scalar quantity? (b) What is its average velocity over a period of one year? A weather forecast states that the temperature is predicted to be \(\displaystyle −5ºC\) the following day. (a) Calculate Earth’s average speed relative to the Sun.

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Is it possible for velocity to be constant while acceleration is not zero? (b) Identify the time or times (\(\displaystyle t_a, t_b, t_c\), etc.) at which the instantaneous velocity is greatest. (b) Identify the time or times (\(\displaystyle t_a, t_b, t_c,\) etc.) at which the acceleration is greatest. (b) The magnitude of the displacement from start to finish. (b) The magnitude of the displacement from start to finish. Solution (a) 13 m (b) 9 m (c) \(\displaystyle 9m\) 32.

Give an example in which velocity is zero yet acceleration is not. If a subway train is moving to the left (has a negative velocity) and then comes to a stop, what is the direction of its acceleration? What is the sign of an acceleration that reduces the magnitude of a negative velocity? Identify (b) the time (\(\displaystyle t_a, t_b, t_c, t_d,\) or \(\displaystyle t_e\)) at which the instantaneous velocity is greatest, (c) the time at which it is zero, and (d) the time at which it is negative. (a) Sketch a graph of velocity versus time corresponding to the graph of position versus time given in Figure. (b) Based on the graph, how does acceleration change over time? (a) Sketch a graph of acceleration versus time corresponding to the graph of velocity versus time given in Figure. (We could, however, use them in the three individual sections where acceleration is a constant.) Sketch graphs of (a) position vs. Find the following for path B: (a) The distance traveled. Find the following for path C: (a) The distance traveled.

Furthermore, questions in symbolic representation result in far lower accuracies compared to questions in graphical representation, particularly when the intercept in mathematics, but far less in kinematics.

Negative velocities in kinematics are by far the largest pitfall, whereas negative slope in mathematics is rarely an issue.

An object that is thrown straight up falls back to Earth. Is it more likely to dislodge the coconut on the way up or down? If air resistance were not negligible, how would its speed upon return compare with its initial speed?

Neglecting air resistance, how does the speed of the rock when it hits the coconut on the way down compare with what it would have been if it had hit the coconut on the way up? If an object is thrown straight up and air resistance is negligible, then its speed when it returns to the starting point is the same as when it was released.

Assuming this to be a constant rate, how many years will pass before the radius of the Moon’s orbit increases by \(\displaystyle 3.84×10^6m\)(1%)? A student drove to the university from her home and noted that the odometer reading of her car increased by 12.0 km. (c) If she returned home by the same path 7 h 30 min after she left, what were her average speed and velocity for the entire trip?

Solution (a) \(\displaystyle 40.0 km/h\) (b) 34.3 km/h, \(\displaystyle 25º\) \(\displaystyle S\) of \(\displaystyle E\).

Speeds of up to \(\displaystyle 50 μm/s(50×10^m/s)\) have been observed. Los Angeles is west of the fault and may thus someday be at the same latitude as San Francisco, which is east of the fault.

The total distance traveled by a bacterium is large for its size, while its displacement is small. \(\displaystyle −10m/s\)” What is wrong with the student’s statement? How far in the future will this occur if the displacement to be made is 590 km northwest, assuming the motion remains constant? On May 26, 1934, a streamlined, stainless steel diesel train called the Zephyr set the world’s nonstop long-distance speed record for trains. Solution \(\displaystyle 34.689 m/s=124.88 km/h\) 38. Tidal friction is slowing the rotation of the Earth.

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