Your rocket takes off from Earth and goes from 0 m per second to 560 m per second in the first 7 seconds of flight. What is your acceleration?

Question

Once your rocket reaches space, the captain adjusts the speed. Your captain goes from 24,000 km/hr to 17,000 km/hr over 90 seconds. What is your acceleration?
Once you land on Mars, you get in your rover to begin exploring the surface. Your rover accelerates at a pace of 3.5 km/hr/second for 10 seconds. What is the velocity of your rover after 10 seconds?
Light travels at 300,000 km per second. Mars is 56 million km away from Earth. How many seconds does it take light to travel from Mars to Earth?

Im swamped with school work and I cant wrap my mind around this at all.

Answer 1

a = ∆v/∆t = (560m/s) / (7s) = 80 m/s^2

∆v = 17000-24000 km/hr = -7000 km/hr * 1000m/km * 1hr/3600s = 1944.44 m/s
a = ∆v/∆t = -1944.44/90 = -21.6 m/s^2

3.5 km/hr/second * 10 s = 35 km/hr

56*10^6km / (3*10^5 km/s) = 186.67 s

all of these are quite similar. Things get much easier if you keep track of the units. Just arrange things so that the unwanted units go away.

Answer 2

Your rocket takes off from Earth and goes from 0 m per second to 560 m per second in the first 7 seconds of flight. What is your acceleration? 0m/s is the initial velocity, 560m/s is the final velocity, and 7secs is the time. acceleration= [(fv-iv)]/t Acceleration=(560m/s-0m/s)/7sec. = acceleration=560m/s/7sec. = acceleration= 80m/s^2 meaning that the rockets acceleration is 80m/s^2 going up.

Once your rocket reaches space, the captain adjusts the speed. Your captain goes from 24,000 km/hr to 17,000 km/hr over 90 seconds. What is your acceleration? Beginning speed is 17,000 km/hr, the ending speed= 24,000km/hr, and the time it took=90/sec (have to convert 90 secs to hrs) do that by doing 90sec*1min/60sec*1hr/60min=0.025hrs 17000-24000=-7000/0.025=-280,000 km/hr^2