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/s 2 ) t 2 . (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 , υ x versus t , and a x versus t , for the lime interval t = 0 to t = 40 s.
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/s 2 ) t 2 . (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 , υ x versus t , and a x versus t , for the lime interval t = 0 to t = 40 s.
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, υx versus t, and ax versus t, for the lime interval t = 0 to t = 40 s.
A monitor lizard crawls along a straight line, which we will call the x-axis with the positive
direction to the right. The equation for the monitor lizard's position as a function of time is
x(t) = 50.0 cm + (2.0) : - (0.0625) t²
a.) Find the monitor lizard's initial velocity, initial position and initial acceleration. Where t= 0
b.) At what time t is the velocity of the monitor lizard zero?
The vertical displacement (in m) of a plane is 1.5 t2 up; t is the time (in s) after takeoff. The plane releases a package 2.0 s after takeoff.
What is the magnitude of the velocity (in m/s) when the packaged is released? Report your answer in the appropriate number of significant digits.
Answer value
A scooter begins at rest at t0=0 seconds. The scooters starts moving, and eventually covers a distance d= 651m, in a time tf= 104 seconds. In a coordinate system with north being the positive x-direction, the scooter's motion is in the northern direction. What wa the scooter's average speed, during this time period, in meters per second? What was the scooters displacement in the northern direction during this person, in meters? What was the scooter's average velocity in the northern direction, in this period in meters per second? If the scooter's final velocity at tf was 12 m/s, what was the scooter's average acceleration in the northern direction, during this period in m/s%^2?
Chapter 2 Solutions
University Physics with Modern Physics (14th Edition)
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