Answer:
they meet at distance 25 feet
Explanation:
given data
acceleration of car = 8 ft/s²
truck speed = 10 ft/s
car initial speed u = 0
truck acceleration = 0
to find out
How far from the starting point will car overtake the truck
solution
we apply here equation of motion
s = ut + 0.5 ×a×t² .............1
here s is distance and a is acceleration and t is time u is initial speed
so truck distance
s = 10t + 0.5 ×0×t²
s = 10 t ...............2
and car distance
s = 0+ 0.5 ×8×t²
s = 4×t² ..........................3
so from equation 2 and 3
10 t = 4×t²
t = 2.5 s
so both meet at distance
s = 10 (t)
s = 10 ( 2.5 ) = 25 ft
so they meet at distance 25 feet
Given parameters:
Volume of water in the tank = 750litres
Length of the tank = 150cm
Breadth of tank = 50cm
Unknown:
Height of the tank = ?
To solve this problem, we must understand the concept of volume. Volume is a property of solid bodies. It is mathematically derived as:
Volume = length x Breadth x height
The unknown here is the height and we should go ahead to solve for it.
<em>But the units are inconsistent. </em>
Therefore, convert litres to cm³;
1 litre = 1000cm³
750 litres = 1000 x 750 = 750,000cm³
Now input the parameters and solve for the height;
750000 = 150 x 50 x height
height = = 100cm
Therefore, the height of the tank is 100cm
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