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 BS Chemistry students in
physics class are conducting a
research project on projectile
motion constructs a device
that can launch a pingpong
ball. The launching device is
designed so that the ball can
be launched at ground level
with an initial velocity of 28 m/s
at an angle of 30° to the
horizontal. At what time will the
ball reach its maximum height?
28 m s-1
30
ground level
O 1.43 s
2.86 s
O 2 s
1 S
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
You drop an object from rest (initial velocity = 0) from a height of 6.8 metres. What is the final speed of the object as it hits the floor? (Speed is a magnitude and so must be a positive value). Assume the magnitude of the acceleration due to gravity g = 9.8 m/s2. Give your answer to 2 s.f.
University Physics with Modern Physics (14th Edition)
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