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Chapter 2: Q19P (page 33)
At a certain time, a particle had a speed ofin positive x direction, and 2.4 slater, its speed was 30 m/s in the opposite direction. What is the average acceleration of particle during this 2.4 sinterval?
Average acceleration of particle during is -
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Figure 2-1 6 gives the velocity of a particle moving on an x axis. What
are (a) the initial and (b) the final directions of travel? (c) Does the particle stop momentarily? (d) Is the acceleration positive or negative? (e) Is it constant or varying?
The wings on a stonefly do not flap, and thus the insect cannot fly. However, when the insect is on a water surface, it can sail across the surface by lifting its wings into a breeze. Suppose that you time stoneflies as they move at constant speed along a straight path of a certain length. On average, the trips each takewith the wings set as sails and with the wings tucked in. (a) What is the ratio of the sailing speed to the non-sailing speed localid="1654754209433" ? (b) In terms oflocalid="1654754226410" , what is the difference in the times the insects take to travel the firstalong the path with and without sailing?
Question: A proton moves along theaxis according to the equation x = 50t + 10t2 , where xis in meters and tis in seconds. Calculate (a) the average velocity of the proton during the first 3.0 sof its motion, (b) the instantaneous velocity of the proton at t = 3.0 s, and (c) the instantaneous acceleration of the proton at t = 3.0 s . (d) Graph xversus tand indicate how the answer to (a) can be obtained from the plot. (e) Indicate the answer to (b) on the graph. (f) Plotvversus tand indicate on it the answer to (c).
Inraces, runner 1 on track 1 (with time ) appears to be faster than runner 2 on track 2 (). However, length of track 2 might be slightly greater than length of track 1. How large can be for us still to conclude that runner 1 is faster?
A certain sprinter has a top speed of 11.0 m/s. If the sprinter starts from rest and accelerates at a constant rate, he is able to reach his top speed in a distance of 12.0 m. He is then able to maintain this top speed for the remainder of a 100 m race. (a) What is his time for the 100 m race? (b) In order to improve his time, the sprinter tries to decrease the distance required for him to reach his top speed. What must this distance be if he is to achieve a time of 10.0 s for the race?
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