Answer:
C
Explanation:
velocity = displacement (m) / change of time (s)
velocity = (400 + 300) / (100 + 400)
velocity = 1.4 m/s
Answer:
29 m/s
Explanation:
Acceleration is the rate of change of velocity, i.e, the change in velocity per unit time.
The driver made the car to accelerate at 3 m/s^2. That means than in every second the velocity of the car increased by 3 m/s. Therefore in four seconds its velocity would increase by 3m/s x 4 = 12m/s. Starting with an initial velocity of 17 m/s the final velocity would be 17 m/s + 12 m/s = 29 m/s.
Answer:
a) 
b) 
Explanation:
Given;
- depth of the water-tank,

- length of the pipe,

- inclination of the pipe from the horizontal,

a)
Now the effective vertical height of the water column from the free surface of the water to the bottom of the pipe at house:



Now the pressure due to effective water head:

where:
density of the liquid, here water
acceleration due to gravity
height of the liquid column


b)
Now the height of water corresponding to this pressure will be the same as the effective water head by the law of conservation of energy.

Answer:

Explanation:
= Rate at which the distance between A and starting point of B is changing = -20 km/h
= Rate at which the distance of B is changing = 15 km/h
= Rate at which the distance between A and B is changing
Time after which the rate at which the distance between A and B is changing is 4 hours
Distance covered by A in 4 hours = 
a = Distance remaining to the start point of B = 
b = Distance covered by B in 4 hours = 
Distance between A and B after 4 hours


Differentiating with respect to time we get

The rate at which the distance between the ships is changing at 4 PM is
.