Respuesta :
Answer:
The horizontal speed of the truck is 102.39 km/hr.
Step-by-step explanation:
Given that,
Speed of airplane = 125 km/h
Angle = 35°
We need to calculate the horizontal speed
Using formula of horizontal speed
[tex]u_{x}=u\cos\theta[/tex]
Where, u = speed
Put the value into the formula
[tex]u_{x}=125\times\cos35^{\circ}[/tex]
[tex]u_{x}=102.39\ km/hr[/tex]
Hence, The horizontal speed of the truck is 102.39 km/hr.
Answer:
v = 102.4 km/h
Step-by-step explanation:
Given:-
- The speed of the airplane, u = 125 km/h
- the angle the airplane makes with the ground, θ = 35°
Find:-
How fast must a truck travel to stay beneath an airplane?
Solution:-
- For the truck to be beneath the airplane at all times it must travel with s projection of airplane speed onto the ground.
- We can determine the projected speed of the airplane by making a velocity (right angle triangle).
- The Hypotenuse will denote the speed of the airplane which is at angle of θ from the truck travelling on the ground with speed v.
- Using trigonometric ratios we can determine the speed v of the truck.
v = u*cos ( θ )
v = (125 km/h) * cos ( 35° )
v = 102.4 km/h
- The truck must travel at the speed of 102.4 km/h relative to ground to be directly beneath the airplane.
