Concept explainers
BIO Flying Leap of the Flea. High-speed motion pictures (3500 frames/second) of a jumping, 210-μg flea yielded the data used to plot the graph in Fig. F2.54. (See “The Flying Leap of the Flea” by M. Rothschild, Y. Schlein, K. Parker, C. Neville, and S. Sternberg in the November 1973 Scientific American.) This flea was about 2 mm long and jumped at a nearly vertical takeoff angle. Use the graph to answer these questions: (a) Is the acceleration of the flea ever zero? If so, when? Justify your answer. (b) Find the maximum height the flea reached in the first 2.5 ms. (c) Find the flea’s acceleration at 0.5 ms, 1.0 ms, and 1.5 ms. (d) Find the flea’s height at 0.5 ms, 1.0 ms, and 1.5 ms.
Figure E2.54
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
UNIVERSITY PHYSICS V.2 W/ACCESS >IC<
Additional Science Textbook Solutions
Sears And Zemansky's University Physics With Modern Physics
Modern Physics
University Physics with Modern Physics (14th Edition)
College Physics
College Physics
Introduction to Electrodynamics
- An object is moving along the x-axis. At t = 0 it is at x = 0. Its x-component of velocity Vx as a function of time is given by: Vx(t) = at - Bt3, where a = 6.8 m/s2 and B = 4.0 m/s4 I. At what nonzero time t is the object again at x = 0? (Express your answer with the appropriate units.) II. At t = 1.8 s, what is the x-component of the velocity of the object? (Express your answer with the appropriate units.) III. At t = 1.8 s, what is the x-component of the acceleration of the object? (Express your answer with the appropriate units.)arrow_forwardThe position of a particle moving along an x axis is given by x = 13.0t2 - 6.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 4.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t = 4.00 sarrow_forwardThe position of a particle moving along an x axis is given by x = 13.0t2 - 6.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 4.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t = 4.00 s.Please help me with d, e, and f.arrow_forward
- The position of a particle moving along an x axis is given by x = 13.0t2 - 6.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 4.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t = 4.00 s.(a).=-176m(b).=-184m/s (c).=-118.0m/s^2 (d).=9.041m (e).=1.444s (f).=9.389m/s (g).=0.722sPlease help me with h and i.arrow_forwardThe position of a particle moving along an x axis is given by x = 16.0t2 - 5.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 5.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f)What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t = 5.00 s.arrow_forwardThe first astronaut has landed on Mars. Conducting some physics experiments, she drops a hammer from rest from a height of 2.01 m and uses a stopwatch to measure that the hammer takes 1.04 s to hit the ground. A. Determine the magnitude of the acceleration due to gravity on Mars. B. She then throws the hammer straight up into the Martian sky. If she comes back to her hand in 4.20 s, with what speed did she throw it?arrow_forward
- You attach a meter stick to an oak tree, such that the top of the meter stick is 2.67 meters above the ground. Later, an acorn falls from somewhere higher up in the tree. If the acorn takes 0.311 seconds to pass the length of the meter stick, how high (h0) above the ground in meters was the acorn before it fell, assuming that the acorn did not run into any branches or leaves on the way down?arrow_forward2. (a) A car travels at a constant velocity 50 km h-1 for 100 km. It then speeds up to 100 km h-1for another 100 km. (i) Sketch the velocity against time graph.(ii) Calculate the car average speed for the 200 km trip in unit km h-1arrow_forwardIn the vertical jump, an athlete starts from a crouch and jumps upward to reach as high as possible. Even the best athletes spend little more than 1.00 s in the air (their "hang time"). Treat the athlete as a particle and let ymax be his maximum height above the floor.To explain why he seems to hang in the air, calculate the ratio of the time he is above ymax/2 (moving up from ymax/2 to ymax and then moving down to ymax/2) to the time it takes him to go from the floor to that height. You may ignore air resistance.arrow_forward
- 79) Between t = 0 and t = t0, a rocket moves straight upward with an acceleration given by a(t)=A−Bt1/2a(t)=A−Bt1/2, where A and B are constants. (a) If x is in meters and t is in seconds, what are the units of A and B? (b) If the rocket starts from rest, how does the velocity vary between t = 0 and t = t0? (c) If its initial position is zero, what is the rocket’s position as a function of time during this same time interval?arrow_forwardMost important in an investigation of an airplane crash by the U.S. National Transportation Safety Board is the data stored on the airplane’s flight-data recorder, commonly called the “black box” in spite of its orange coloring and reflective tape.The recorder is engineered to withstand a crash with an average deceleration of magnitude 3450 g during a time interval of 6.49 ms. In such a crash, if the recorder and airplane have zero speed at the end of that time interval, what is their speed at the beginning of the interval?arrow_forwardTwo rockets are fired upward. The first rocket’s velocity is given by the function v1(t)= 4t; the second rocket’s velocity is given by the functionv2(t)= 1/10t2. In both cases, t is in seconds and velocity is in feet per second. When the two rockets’ velocities are the same, how far ahead is the first rocket?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning