The runway of an airport in Oman has been designed such that the lowest acceleration for a plane to take off is 10.3 m/s ^ 2 . The take -off speed for this plane will be 64.2 m/s . Assuming this minimum acceleration , then the minimum allowed length (m) for the runway is :

A helicopter is ascending vertically with a speed of 5.30 m/s. At a height of 107 m above the Earth, a package is dropped from the helicopter. How much time does it take for the package to reach the ground? [Hint: What is v0 for the package?] Express your answer to three significant figures and include the appropriate units.   My Answer is that t= 4.163 but what unit is it? I tried s, m/s, min but none of them were correct. PLEASE HELP CONFIRM MY ANSWER and THE UNIT along with 4.163

You are on the roof of a Physics Building, 51 m above the ground. Your physics professor, who is 1.84 m tall, is approaching the building at constant speed of 1.19 m/s. If you wish to drop an egg on his head, how far should your professor be when you release the egg? Do not round the answer. Put all the decimals.

An unidentified flying object (UFO) is observed to travel a total distance of 29000 m, starting and ending at rest, over a duration of 1.61 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in gs, where 1 g= 9.81 m/s^2. 1 4,562 g s 2,281 g s 3 44,751 g s 4 22,376 g s

An object is moving with an initial velocity of 5.8 i m/s and a final velocity 13.8 i m/s. The time taken for acceleration is 2.2 seconds.  Calculate the acceleration in m/s2 to 2 sf. In your answer, you do not enter the i unit vector, but you do need to enter negative signs, if appropriate. e.g. if your answer is a = -5.4 i  m/s,2 you would enter -5.4

A badger looking for food travels 8.0 km [S], 3.0 km [E], 5.0 km [S], 9.0 km [N], then 3.0 km [W]. What is the badger's total displacement?

A light plane must reach a speed of 32 m/sm/s for takeoff. How long a runway is needed if the (constant) acceleration is 2.7 m/s2m/s2 ? Express your answer using two significant figures.

A particle moving along a straight line has initial velocity v(0) = 1 m/s, and acceleration a(t) = sin(I-t) + cos(t+1) (in m/s?). (a. Find the velocity at time t. (b) Find the average velocity during the time interval [I, 211]. (c) Find the distance traveled during the time interval [1, 2I].

(a) You travel from a position 129 mi Ñ to a position 59 Ñ mi Ê + 67 Ñ in 137 minutes. What is your average velocity in mathematical form? Ë+ N = (b) You watch an ant move across a table, from corner to corner, displacing itself 4' x + 2' ŷ with a speed 220 ft/s. What is the ant's average velocity in mathematical form? x + ŷ = (c) An airplane moves at a cruising speed of 908 km/h on a trip that takes 130 minutes. The airplane moves along a straight line path in the direction given by the unit vector 0.29 Ê + 0.95 Ñ. What is the airplane's displacement in mathematical form? Ê + N = (d) A boat travels with a velocity of 3.2 m/s x - 1.2 m/s ŷ and ends up a distance 320 m from its original position. What is the displacement of the boat? d= X + ŷ