You are throwing paper airplanes in class and you throw them
You are throwing paper airplanes in class, and you throw them hard enough they start out at a horizontal speed of 10 ft/s. However, they have a horizontal deceleration of 4 ft/s. What is the greatest distance away from the intial position that an object can be if it can be struck by the airplane?
Solution
Here ,
initial speed , u = 10 ft/s
ax = -4 ft/s
height of person , h = 6 ft
time taken for airplane to fall is t
t = sqrt(2 * h/g)
t = sqrt(2 * 6/32.17)
t = 0.617 s
distance travelled in that time ,
x = 10 * 0.617 - 0.5 * 4 * 0.617^2
x = 5.36 ft
the distance travelled by the airplane is 5.36 ft
