an ultralight plane had been flying for 40 min when a change of wind direction doubled its ground speed. the entire trip of 160miles took 2h. how far did the plane travel during the first 40 min?
Let V be the initial ground speed and 2V be the final ground speed, in miles per minute.
The length of time travelled at the higher speed was 120  40 = 80 minutes
Total distance travelled =
160 = 40 V + 80*(2V) = 200 V
V = 0.8 miles/minute
Inital distance travelled at velocity V = 0.8 miles/min* 40 min = 32 miles
Final distance travelled at velocity 2V = 80*1.6 = 128 miles
 👍
 👎
 👁
 ℹ️
 🚩
Answer this Question
Related Questions

Math
Flying to the wind, an airplane takes 4 hours to go 960 km. The same plane flying with the wind takes only 3 hours to make the same trip. Find the speed of the plane and the speed of the wind. I wasn't here for the lesson from my teacher but told me to ask
 asked by Njex
 1,510 views

science  physics
A plane flies with a velocity of 52 m/s east through a12 m/s cross wind blowing the plane south. Find the magnitude and direction (relative to due east) of the resultant velocity at which it travels.
 asked by michelle
 6,018 views

Physics
he drawing shows two planes each dropping an empty fuel tank. At the moment of release each plane has the same speed of 185 m/s, and each tank is at the same height of 3.62 km above the ground. Although the speeds are the same, the velocities are different
 asked by Cassie
 3,813 views

Physics
A plane can travel with a speed of 80 mi/hr with respect to the air. Determine the resultant velocity of the plane (magnitude only) if it encounters a: 10 mi/hr cross wind; 60 mi/hr cross wind; 10 mi/hr tailwind; 10 mi/hr headwind. I have no idea what
 asked by Oleg
 5,163 views

physics
An unsuspecting bird is coasting along in an easterly direction at 4.00 mph when a strong wind from the south imparts a constant acceleration of 0.300 m/s2. If the acceleration from the wind lasts for 2.70 s, find the magnitude, r, and direction, θ, of
 asked by Jordan
 4,271 views

physics
An airplane is flying with a speed of 240 km/hr at an angle of 27 degrees north of east. a) How fast is the plane flying north? b) How fast is the plane flying east?
 asked by jacob
 1,775 views

Physics
A pilot maintains a heading due west with an air speed of 240 km/h. After flying for 30 min, he finds himself over a town that he knows is 150 km west and 40 km south of his starting point. a) What is the wind velocity, in magnitude and direction? b) What
 asked by Jaime
 1,339 views

Physics HELP!
An airplane is flying North with a velocity of 22 m/s. A strong wind is blowing East at 50 m/s. What is the airplane's resultant velocity (magnitude and direction)?
 asked by Desirae
 738 views

physics
An airplane whose airspeed is 295 km/h flies parallel to the direction of a wind with a speed of 40.0 km/h. What are the two possible speeds of the plane relative to the ground?
 asked by Anonymous
 1,556 views

physics
A jet plane is flying horizontally with a speed of 500 m/s over a hill that slopes upward with a 3% grade (i.e., the "rise" is 3% of the "run"). What is the component of the plane's velocity perpendicular to the ground? (Assume the +xdirection is up along
 asked by Soh
 3,813 views

word problem
An airplane is flying with a heading of 60 degrees east of north at 450 mph. A wind is blowing at 37 mph from the north. Find the plane's ground speed to the nearest mph and direction to the nearest degree. Thanks.
 asked by jen
 2,151 views

math
Flying against the wind, an airplane travels 5600 km in 8 hours. Flying with the wind, the same plane travels 9900 km in 9 hours.
 asked by stephanie
 451 views

math
A plane flies 540 miles for 2 hours in the direction of the wind. Then it turns around and flies 690 miles for 3 hours against the same wind. Find the speed of the plane in still air and the wind speed.
 asked by Anonymous
 1,176 views

Math
Flying against the wind, a jet travels 2340 miles in 3 hours. Flying with the wind, the same jet travels 8960 miles in 7 hours. What is the rate of the jet in still air and what is the rate of the wind?
 asked by Kayla
 1,361 views

Physics
A plane is headed due west with an air speed of 221 m/s. The wind blows south at 37.5 m/s. Find the velocity of the plane relative to the earth. The question asks for the magnitude which I found is 224 m/s. The question also asks for the
 asked by Lindsey
 650 views

Physics
Two planes are about to drop an empty fuel tank. At the moment of release each plane has the same speed of 135 m/s, and each tank is at the same height of around 2.00km above the ground. Although the speeds are the same, the velocities are different at the
 asked by Anonymous
 14,621 views

Math
An aircraft flew 3hrs with the wind. The return trip took 4hrs against the wind. If the speed of the plane in still air is 180mph more than the speed of the wind, find the wind speed and the speed of the plane in still air.
 asked by Ingrid
 921 views

Physics
On takeoff, the combined action of the engines and the wings of an airplane exert a force of 8.00 x 103 N on the plane upward at an angle of 65.0˚ above the horizontal. The plane rises with constant velocity in the vertical direction while continuing to
 asked by Lee
 1,840 views

Physics
A train moving at a constant speed of 61.0 km/h moves east for 35.0 min, then in a direction 50.0° east of due north for 10.0 min, and then west for 49.0 min. What is the average velocity of the train during this run? What is the magnitude of that
 asked by Anonymous
 435 views

Math
Me, again... Please help me. Thank you. Assume a plane is flying directly north at 200 mph, but there is a wind blowing west at 23 mph. Part I: Express both the velocity of the plane and the velocity of the wind as vectors, using proper notation to
 asked by Lizzie098
 3,405 views
Still need help?
You can ask a new question or browse existing questions.