Solution Found!
Answer: CALC A turtle crawls along a straight line, which
Chapter 2, Problem 15E(choose chapter or problem)
Problem 15E
CALC A turtle crawls along a straight line, which we will call the x -axis with the positive direction to the right. The equation for the turtle’s position as a function of time is x(t) = 50.0 cm + (2.00 cm/s)t – (0.0625 cm/s2)t2. (a) Find the turtle’s initial velocity, initial position, and initial acceleration. (b) At what time t is the velocity of the turtle zero? (c) How long after starting does it take the turtle to return to its starting point? (d) At what times t is the turtle a distance of 10.0 cm from its starting point? What is the velocity (magnitude and direction) of the turtle at each of those times? (e) Sketch graphs of x versus t, vx versus t, and ax versus t, for the time interval t = 0 to t = 40 s.
Questions & Answers
QUESTION:
Problem 15E
CALC A turtle crawls along a straight line, which we will call the x -axis with the positive direction to the right. The equation for the turtle’s position as a function of time is x(t) = 50.0 cm + (2.00 cm/s)t – (0.0625 cm/s2)t2. (a) Find the turtle’s initial velocity, initial position, and initial acceleration. (b) At what time t is the velocity of the turtle zero? (c) How long after starting does it take the turtle to return to its starting point? (d) At what times t is the turtle a distance of 10.0 cm from its starting point? What is the velocity (magnitude and direction) of the turtle at each of those times? (e) Sketch graphs of x versus t, vx versus t, and ax versus t, for the time interval t = 0 to t = 40 s.
ANSWER:
Solution to 15E
Here the equation of the motion is given as cm.
Part A
Initial velocity,
Step 1
cm/s
