Answer:
The water level in the bath tub is rising at a rate of 0.0111 ft/s
Explanation:
Volume of the bath tub = (Area of base) × (height)
Area of base = 18 ft² (constant)
Height = h (variable)
V = 18h
(dV/dt) = 18 (dh/dt)
If (dV/dt) = 0.2 ft³/s
0.2 = 18 (dh/dt)
(dh/dt) = (0.2/18)
(dh/dt) = 0.0111 ft/s
Hope this Helps!!!
Till the time car is just adjacent to the bicycle we can say
distance moved by cycle = distance moved by car
Time taken by car to accelerate from rest
Time taken by cycle to accelerate
now the distance moved by cycle in time "t"
distance moved by car in same time
now make them equal
so cycle will move ahead of car for t = 5.68 s
Solid to liquid
Liquid to solid
By adding or removing heat energy aka thermal energy
Answer:
Modern racism
Explanation:
Modern racism emanates from an aggressive prejudicial behavior to a more subtle prejudicial behavior. This subtle prejudicial behavior advanced to a degree that is much more difficult to see, yet is regarded as more severe. The modern form of racism is the workplace. Although many companies promise an equal opportunity, there is little doubt that everyone is treated equally within their place of work. Subtle, modern racism is believed to create an image that seems more politically correct. The politically correct way to discriminate is through a "polite" form of racism. In the past racism was easily defined and institutional
Modern racism is among the most widespread forms of verbally expressed negative racial attitudes in the United States .
Answer:
V = 331.59m/s
Explanation:
First we need to calculate the time taken for the shell fire to hit the ground using the equation of motion.
S = ut + 1/2at²
Given height of the cliff S = 80m
initial velocity u = 0m/s²
a = g = 9.81m/s²
Substitute
80 = 0+1/2(9.81)t²
80 = 4.905t²
t² = 80/4.905
t² = 16.31
t = √16.31
t = 4.04s
Next is to get the vertical velocity
Vy = u + gt
Vy = 0+(9.81)(4.04)
Vy = 39.6324
Also calculate the horizontal velocity
Vx = 1330/4.04
Vx = 329.21m/s
Find the magnitude of the velocity to calculate speed of the shell as it hits the ground.
V² = Vx²+Vy²
V² = 329.21²+39.63²
V² = 329.21²+39.63²
V² = 108,379.2241+1,570.5369
V² = 109,949.761
V = √ 109,949.761
V = 331.59m/s
Hence the speed of the shell as it hits the ground is 331.59m/s
