(a) 8927 mi/h
In order to calculate the average speed, we need to convert the time (t=5.0 y) into hours first. In 1 year, we have 365 days, each day consisting of 24 hours, so the time taken is:
The distance covered by the spacecraft is
Therefore, the average speed is just the ratio between the distance covered and the time taken:
(b) 35 minutes (2097 seconds)
The transmitted signals (which is a radio wave, which is an electromagnetic wave) travels back to the Earth at the speed of light:
Since 1 miles = 1609 metres, the distance covered by the signal is
So, the time taken by the signal will be
And since 1 minute = 60 sec, the time taken is
Answer:
Explanation:
Given
Initial speed 
distance traveled before coming to rest 
using equation of motion
where v=final velocity
u=initial velocity
a=acceleration
s=displacement
for 
using same relation we get
divide 1 and 2 we get
So a distance if 213.32 ft is required to stop the vehicle with 80 mph speed
Explanation:
The object stops moving in 5 places (namely B, D, F, H, and position after 28 seconds which isn't marked ).
We know that the object has stopped moving, since its position does not change with the passage of time i.e. at rest.
Answer:
False
Explanation:
When the location of the poles changes in the z-plane, the natural or resonant frequency (ω₀) changes which in turn changes the damped frequency (ωd) of the system.
As the poles of a 2nd-order discrete-time system moves away from the origin then natural frequency (ω₀) increases, which in turn increases damped oscillation frequency (ωd) of the system.
ωd = ω₀√(1 - ζ)
Where ζ is called damping ratio.
For small value of ζ
ωd ≈ ω₀
