# At what angle should the bomb be released?

## Homework Statement

There is a plane flying at 200 km/h and wants to drop a bomb on a car traveling 130 km/h which is 78.0m below the plane. at what angle should the bomb be released? the answer is 45 degrees.

## Homework Equations

sine law: SinA/a= SinB/b
cosine law: a^2=b^2+c^2+bcCosA
v=d/t
sine,cosine and tan trig ratios

## The Attempt at a Solution

converted 78.0m to 0.078 km.
I have drawn out the vectors but have not been able to add them. Any help would be appreciated.

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SammyS
Staff Emeritus
Homework Helper
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## Homework Statement

There is a plane flying at 200 km/h and wants to drop a bomb on a car traveling 130 km/h which is 78.0m below the plane. at what angle should the bomb be released? the answer is 45 degrees.

## Homework Equations

sine law: SinA/a= SinB/b
cosine law: a^2=b^2+c^2+bcCosA
v=d/t
sine,cosine and tan trig ratios

## The Attempt at a Solution

converted 78.0m to 0.078 km.
I have drawn out the vectors but have not been able to add them. Any help would be appreciated.
It seems to me that there is not sufficient information to answer this.

Have you stated the entire problem?

Is there a figure to go with this?

This looks like a projectile motion problem to me.
This looks like a projectile motion problem to me.
i subtracted the velocities to get 70km/h which converts to 19.44m/s
then i plugged it into equation equation d=v1t + 1/2 at^2
78.0m = 1/2(9.8 m/s/)t^2
t= 3.99s

then with the t i found the distance between the plane and car that the bomb travels.
d=vt
=(19.44m/s)(3.99s)
=77.57m

then i found the angle tanx= 78/77.57
x=45 degrees
is this correct?

SammyS
Staff Emeritus
Homework Helper
Gold Member
Do you know the relative positions of the plane and the car, as well as the relative directions of motion?

CWatters
Homework Helper
Gold Member
i subtracted the velocities to get 70km/h which converts to 19.44m/s
then i plugged it into equation equation d=v1t + 1/2 at^2
78.0m = 1/2(9.8 m/s/)t^2
t= 3.99s

then with the t i found the distance between the plane and car that the bomb travels.
d=vt
=(19.44m/s)(3.99s)
=77.57m

then i found the angle tanx= 78/77.57
x=45 degrees
is this correct?