3. If a rocket in space is moving at a constant velocity of 9.8 m/s and then uses its propulsion system to accelerate to 10.5 m/s during a 3.0 minute burn, what would be the acceleration of the
rocket? (remember to change minutes to seconds - there are 60 seconds in 1 minute)

How are period and frequency related to each other? dperiod is the reciprocal of frequency.

Distance covered, s = 8ft - 4ft = 4 ftinitial velocity, u = 34 ft/sthe acrobat is moving upwards and therefore, a = -g = -9.81 m/s^2 = 32.19 ft/s^2applying equation of motion; s = ut -1/2gt^2then,4 = 34t -1/2*32.19t^24 = 34t - 16.095t^2rearranging; -16.095t^2 + 34t - 4 = 0solving the quadratic equation; t = {-34 +/- sqrt [34^2 - 4(-16.)]}/2(-16.095) = 1.06 +/- 0.93 = 0.13 or 1.99the acrobat will take 0.13 seconds to be at 8 ft above the ground. additionally, once at the maximum height, the acrobat will move down and be at the same spot (that is height) after 1.99 seconds moving down.

Iwas thinking the wavelength is one half its original value