Answer:
the rate of acceleration of the train is 4 m/s²
Explanation:
Given;
initial velocity of the train, u = 10 m/s
change in time of motion, dt = 5 s
final velocity of the train, v = 30 m/s
The rate of acceleration of the train is calculated as;

Therefore, the rate of acceleration of the train is 4 m/s²
Weight equals mass times gravitational acceleration=400N, so mass=400/9.8=41kg approx.
Answer:
The magnitude will be "353.5 N". A further solution is given below.
Explanation:
The given values is:
F = 500 N
According to the question,
In ΔABC,
⇒ 
⇒ 
then,
⇒ 
⇒ 
Now,
The corresponding angle will be:
⇒ 
⇒ 
⇒ 
Aspect of F across the AC arm will be:
= 
On putting the values of F, we get
= 
= 
Component F along the AC (in magnitude) will be:
= 
= 
= 
Answer:
Explanation:
Given
velocity of driver
=25 m/s w.r.t ground towards north
driver observes that rain is making an angle of
with vertical
While returning
=25 m/s w.r.t. ground towards south
suppose
=velocity of rain drop relative car while car is going towards north
=velocity of rain drop relative car while car is going towards south
z=vector sum of 
Now from graph



therefore magnitude of z is given by






Thus rain drops make an angle of
w.r.t to ground