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.
You stand at the edge of a 22.0 m high cliff and throw a stone straight down with a speed of 8.00
m/s. Before it hits the ground, the stone is traveling with a speed of 22.3 m/s. Let down be the
positive vertical direction.
Using the given coordinate system, what is the sign of the displacement of the stone from the point
it is released until just before it hits the ground?
O Negative
Zero
O Positive
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.
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?
University Physics with Modern Physics (14th Edition)
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