Question

An aeroplane is flying horizontally at a height of 490 m with a velocity of 150m/s.a bag containing food is to be dropped to the jawans on the ground.How far from them should the bag be dropped so that it directly reaches them?

Answer 1

velocity of aeroplane , u = 150m/s

aeroplane is flying horizontally at a height , h = 490m.

now a bag containing food is to be dropped to the jawans on the ground.

A rough diagram is shown in figure. in diagram, it is clear that trajectory of the bag is parabolic. and this question is based on horizontal projectile motion.

in projectile motion, we know acceleration along horizontal direction equals to zero. i.e., $a_x$ = 0

so, distance covered in horizontal direction , x = ut.

so, our first work is to find time taken by bag to reach the ground.

height , h = 490m

Acceleration along vertical direction, $a_y$ = g = 9.8 m/s² and $u_y$=0

using formula, s = ut + 1/2 at²

or, 490 = 4.9t² => t = 10sec

now, distance travelled in horizontal direction, x = ut = 150 × 10 = 1500m

Answer 2

Answer:

mark me as brainst and follow me

Explanation:

velocity of aeroplane , u = 150m/s

aeroplane is flying horizontally at a height , h = 490m.

now a bag containing food is to be dropped to the jawans on the ground.

A rough diagram is shown in figure. in diagram, it is clear that trajectory of the bag is parabolic. and this question is based on horizontal projectile motion.

in projectile motion, we know acceleration along horizontal direction equals to zero. i.e., a_xa

x

= 0

so, distance covered in horizontal direction , x = ut.

so, our first work is to find time taken by bag to reach the ground.

height , h = 490m

Acceleration along vertical direction, a_ya

y

= g = 9.8 m/s² and u_yu

y

=0

using formula, s = ut + 1/2 at²

or, 490 = 4.9t² => t = 10sec

now, distance travelled in horizontal direction, x = ut = 150 × 10 = 1500m