A wildlife biologist is studying the hunting patterns of tigers. She anesthetizes a tiger and attaches a GPS collar to track its movements. The collar transmits data on the tiger's position and velocity. Figure below shows the tiger's velocity as a function of time as it moves on a one dimensional path.
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- Two-dimensional motion: Object A has a position as a function of time given by rA(t) = (3.00 m/s)t i + (1.00 m/s2)t2j. Object B has a position as a function of time given by r p(t) = (4.00 m/s)ti + (-1.00 m/s2)t2i. All quantities are SI units. What is the distance between object A and object B at timet= 3.00 s?A group of students in a science class monitored the movement of a cat walking along with a straight line and recorded the cat's position in five-second intervals.The results are summarized it in the table below. time and position time(s) position (cm) 0 49.0 5 38.0 10 43.0 15 40.0 20 60.0 A. What is the displacement of the cat between t = 5.00 s and t = 20.0 s? B. What is the average velocity of the cat between t = 5.00 s and t = 20.0 s? C.What is the distance the cat traveled between t = 5.00 s and t = 20.0 s?The velocity of a toy car moving along as straight path is shown in the figure. Match the numbers according to the graph. Assume the numbers in the choices are followed by proper units (not shown), i.e., distance in [m], speed or velocity in [m/s], and acceleration in [m/s^2].
- A graph of position versus time for a certain particle moving along the x-axis is shown in the figure below. Find the average velocity in the following time intervals. x (m) 10 8 1000049 2 M 1 2 3 4 5 6 7/8 (d) 4.00 s to 7.00 s m/s (e) 0 to 8.00 s m/sStarting at x = - 14 m at time t = 0 s, an object takes 17 s to travel 42 m in the +x direction at a constant velocity. On a sheet of paper, make a position vs. time graph of the object's motion. What is its velocityAt t=0 an object has a velocity of 35 m/s and a steady acceleration of -10 m/s2. Make a sketch of velocity vs. time for this motion from t=0 to t=5 s. Make a sketch of acceleration vs. time for this motion from t=0 to t=5 s. Does the object change directions between 0 and 6 s?
- The motion of an object in the x-y plane is described by the position vector r = 12t²i + (t3-4t)j, where r in meters and t in seconds. If the object starts motion from origin at t = 0, finds its velocity (in m/s) when the y-component of displacement is zeroAt t=0 an object has a position of 1 m and has a steady velocity of -2.5 m/s. What will be the object’s position at t = 6 seconds? Make a sketch of position vs. time for this motion from t=0 to t=6 s. Make a sketch of velocity vs. time for this motion from t=0 to t=6 s. Does the object change directions between 0 and 6 s?