Answer:
B. v = λ X f
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Answer: 6.175 km
Explanation:
from the question, we have the following
velocity of the automobile = 95 km/g
velocity of the train = 75 km/h
length of the train = 1.30 km
since the automobile and the train are moving in the same direction, we need to find the velocity of the car relative to the train which will be their difference in speed = 95 - 75 = 20 km/h
we need to find the time it takes the automobile to overtake the train using the formula time = distance / speed , with the distance being the length of the train.
time (t) = 1.3 / 20
= 0.065 hour
now we can find the distance traveled by the automobile using the the time taken for it to overtake the train and the speed of the automobile.
therefore, distance = speed x time
distance = 95 x 0.065 =6.175 km
The final vertical velocity of the object is 705.6 m
Explanation:
Here we have to analyze the vertical motion of the object, which is a free fall motion, with constant acceleration of

towards the ground due to gravity.
Therefore, we can use the following suvat equation:

where
v is the final vertical velocity
u is the initial vertical velocity
is the acceleration
t is the time
Since the object is dropped,
u = 0
Therefore, the magnitude of the vertical velocity of the object after t = 72 seconds is:

Learn more about free fall:
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Diceplacement is the distance an object has traveled in a certain direction
for example, if you were to walk North for 20m, then east for 40m, the <u>distance</u> you have traveled is 60m however your displacement is the distance between your starting position and your end position;
sqrt(20^2+40^2) = 44.7m
and because displacement is a vector, there needs to be a direction;
sin(theta)=40/44.7
theta=63.4 degrees East of North
therefore the true displacement is 44.7m at 63.4 degrees East of North