Suppose a 2-dimensional space is spanned by the coordinates (v, x) and that the line
element is dened by:
ds2 = -xdv2 + 2dvdx
i) assuming that the nature and properties of the spacetime line element still hold,
show that a particle in the negative x-axis can never venture into the positive
x-axis. that is, show that a particle becomes trapped if it travels into the
negative x-axis.
ii) draw a representative light cone that illustrates how a particle is trapped.

70 give a real life example showing how sensory neurons work with the motor neurons

Steelhead trout migrate up stream to spawn.occasionally they need to leap up small waterfalls to continue their journey. fortunately, steelhead are remarkable jumpers, capable of leaving the water at a speed of 8.0 m/s. a. what is the maximum height a steelhead trout can jump? b.leaving the water at 8.0 m/s, the trout lands on top of the water fall 1.8 m high. how long was it in the air?

Emmy kicks a soccer ball up at an angle of 45° over a level field. she watches the ball's trajectory and notices that it lands, two seconds after being kicked, about 20 m away to the north. assume that air resistance is negligible, and plot the horizontal and vertical components of the ball's velocity as a function of time. consider only the time that the ball is in the air, after being kicked but before landing. take "north" and "up" as the positive ‑ and ‑directions, respectively, and use ≈10 m/s2 for the downward acceleration due to gravity.