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 pebble is dropped from rest from the top of a cliff. It takes Δt = 3.7 s for it to reach the ground.
a)What is the initial velocity, vi, of the pebble in m/s?
b)What is the value of the magnitude of acceleration, in m/s2?
c) Express the final velocity vf of a object travelling with an acceleration a for a time period Δt which starts with an initial velocity vi.
d)Calculate the magnitude of vf in m/s.
e)Express the displacement Δy of an object travelling with acceleration a during a time period Δt that has an initial velocity vi.
f) Calculate the magnitude of Δy in meters.
Chapter 2 Solutions
University Physics with Modern Physics (14th Edition)
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