Arocket is launched at an angle of 39◦ above the horizontal with an initial speed of 90 m/s. it moves for 7 s along its initial line of motion with an acceleration of 19 m/s 2 . at this time its engines fail and the rocket proceeds to move as a projectile. the acceleration of gravity is 9.8 m/s 2 . find the maximum altitude reached by the rocket. answer in units of m.

If you were on a jury, do you think you would expect individual characteristics in the evidence? why or why not? what effects might it have if individuals expect to have individuals characteristics presented? this question is for forensic science

Space-time metric ds2= -dt2+at2dx2+bt2dy2+ct2dz2 (a)how does the area of a rectangle with vertices at ( x=0, y=0, z=0 ), (1,0,0 ), ( 0,1,0 ) and (1,1,0 ) changes with time? (b) if a photon moving in the x direction starts from the origin at t=1, when does it reach x=l? (ds=0 for the trajectory of a photon.) (c) the proper time for a particle is defined by cd=ds. what is the proper time for a particle to move along the trajectory ( x(t)=t, y(t)=0, z(t)=0 ) from t=0 to 1 ? what is the condition on the parameter a so that the velocity of the particle never exceeds the speed of light ?

Because light travels in a straight line and casts a shadow, isaac newton hypothesized that light is