Answer:
V = 308.06 miles/hour
θ = 13.13° west of north.
Explanation:
Airplane speed = V₁ = 300 miles/hour
Wind speed = V₂ = 70 miles/hour
Resultant speed of the plane = V = ?
As airplane is trying to fly straight North and wind is blowing toward the west. So the angle between airplane velocity and wind velocity is 90°.
By Pythagoras Theorem
V =
V =
V = 308.06 miles/hour
θ = tan⁻¹(70/300)
θ = 13.13° west of north.
Answer:
Vi = 5.42 [m/s]
t = 0.55 [s]
Explanation:
To solve this problem we must use the following equation of kinematics.
where:
Vf = final velocity = 0 (At maximum elevation the coin doesn't move)
Vi = initial velocity [m/s]
g = gravity acceleration = 9.81 [m/s²]
y = elevation = 1.5 [m]
Note: The negative sign in the above equation means that the direction of the gravity acceleration is acting against the movement of the coin when it is going up.
0 = (Vi)² - (2*9.81*1.5)
29.43 = (Vi)²
Vi = 5.42 [m/s]
The time we can find it using the next equation also from kinematics.
0 = 5.42 - 9.81*t
t = 5.42/9.81
t = 0.55 [s]
Answer:
5.95 km/h
Explanation:
Given that,
Distance moved, d = 25 km
Time taken by the lion, t = 4.2 hours
Average speed = distance/time
And
Average velocity = displacement/time
Here, distance = displacement
So,
So, the average speed and the average speed of the lion is equal to 5.95 km/h.