Question

A jet plane has a takeoff speed of vto = 75 m/s and can move along the runway at an average acceleration of 1.3 m/s2. If the length of the runway is 2.5 km, will the plane be able to use this runway safely?

Answer 1

ok so 2 equations
\[v=v_o+at\]
and
\[x=\frac{1}{2}at^2+v_ot+x_o\]
the first equation calculates velocity at time t
the 2nd equation calculates distance travelled at time t

Answer 2

ok assuming that initial velocity and initial position are both equal to 0
the take off velocity is 75 and acceleration is 1.3
so determine the time it takes to reach 75 m/s

or 75=1.3t
solve t

Answer 3

Yes

Answer 4

it will

Answer 5

t = 57.69

Answer 6

once you find t
you substitute the values into the position equation and determine how far it will travel
so
\[x=\frac{1}{2}(1.3)t^2\]

Answer 7

37.49

Answer 8

calculate that again
i got 2163 m

Answer 9

Wait thats not it

Answer 10

You're right. Forgot the squared

Answer 11

ok now is 2163m less than 2.5km???

Answer 12

the plane needs to travel 2163 meters in order to reach takeoff velocity
and the runway is only 2.5km

Answer 13

337 meters

Answer 14

337meters means absolutely nothing
unless it asked for how much of the runway wasnt used

all you just need to realize is 2.5km is the same as 2500 m
and that because the plane only needed 2300m to take off, then there was enough room

Answer 15

You're absolutely right