Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(b) The drawing shows a plane dropping an empty fuel tank. At the moment of rele

ID: 1791820 • Letter: #

Question

(b) The drawing shows a plane dropping an empty fuel tank. At the moment of release the plane has a speed of120 m/s, and the empty tank is at a height of 4.250 km above the ground. The plane is flying at an angle of 15.0° with respect to the horizontal ground beneath the plane. Ignore air friction in your calculations. 15 Fuel tank (i) What is the acceleration of the empty fuel tank just after it is released from the (1mark) plane? i) How many seconds after the fuel tank is released from the plane does the fuel (1 mark) tank reach its maximum height? (ii) What is the maximum height above the ground that the fuel tank reaches? (1 mark) (iv) With what speed does the fuel tank hit the ground? (3 marks)

Explanation / Answer

(a) accleration is only due to gravity so a=9.8 m/s*s

(b) initial speed=120 m/s at an angle of 15 degree

Time for maximum height=120sin(15)/9.8=)3.2 sec

(c)maximim height=4.25+(120sin(15))*120sin(15))/(2*9.8)=53.46 m

(d)speed=120.34 m/s