Physics

The hammer will take square-root(2x80/9.8)= 4.04 seconds to hit the ground.

The distance is related to the time by s=v0t + 1/2 gt^2 where vo, the initial velocity is=0.

The answer is 4.04 or rounded is 4 seconds.

160 m

((60m/s+80m/s)/2)x12s=840m

4.6ms

It will take a sailboat 24 hours traveling at 5 miles per hour to sail 120 miles.

31.30

420 miles

The average uninformed acceleration is (delta-V) / (delta-T). Delta-V = (96 - 32) = 64 m/s. Delta-T = 8.0 seconds. A = (64 m/s) / (8.0 sec) = 8 m/s2

Assuming that his acceleration was linear (ie. that he slowed down at a perfectly steady rate), then you can say his velocity at any point in those eight seconds was:

21 - t(21 / 8) m/s

To get the distance covered in that time, you can simply take the area under that line between 0 seconds and eight seconds. Because it's linear, this is very easy. You're dealing with a right triangle that is 8 seconds wide and 21 meters per second tall. With a triangle, the area is equal to half it's width times it's height, so the equation is:

d = 21m/s * 8s / 2

∴d = 168m / 2

∴d = 84m.

So he traveled 84 meters in those 8 seconds, and probably scared the bejeebers out of that poor deer.

Average speed = 21/2 m/s , Time =8 s, Distance = 8 x 21/2 = 84m

-80/10 = -8 m/s2

Assuming the question is refering to feet PER second and miles PER hour,

176 fps = 120 mph

25 m/s

60 m/s

Vector, magnitude and direction.

Air miles from Oklahoma City, Oklahoma, to Dallas, Texas, total 191 miles. That is 307 kilometers or 166 nautical miles.

1

Apply to the equation V=U+at . The answer is 40.