A particle is projected horizontally from a point P, h metres above O, with a velocity of V metres per second. The only acceleration that the particle undergoes is the acceleration due to gravity (-g) vertically in a downward direction. There is no horizontal acceleration. h y O X Finds the displacement vector of the particle at time t. A package of supplies is dropped from a plane to a disabled sailboat (S) in the ocean. The plane is travelling at a constant velocity of 252 km/h and is 150 m above sea level and directly due west of the disabled sailboat. How long will it take the package to hit the water? (Take g = -10 m/s²) A current is causing the sailboat to drift at a speed of 1.8 km/h in the same direction as the plane is travelling. Between what two values (distances) can the plane drop the package so that it lands at most 40 m from the disabled sailboat?
A particle is projected horizontally from a point P, h metres above O, with a velocity of V metres per second. The only acceleration that the particle undergoes is the acceleration due to gravity (-g) vertically in a downward direction. There is no horizontal acceleration. h y O X Finds the displacement vector of the particle at time t. A package of supplies is dropped from a plane to a disabled sailboat (S) in the ocean. The plane is travelling at a constant velocity of 252 km/h and is 150 m above sea level and directly due west of the disabled sailboat. How long will it take the package to hit the water? (Take g = -10 m/s²) A current is causing the sailboat to drift at a speed of 1.8 km/h in the same direction as the plane is travelling. Between what two values (distances) can the plane drop the package so that it lands at most 40 m from the disabled sailboat?
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A particle is projected horizontally from a point P, h metres above O, with a velocity
of V metres per second. The only acceleration that the particle undergoes is the
acceleration due to gravity (-g) vertically in a downward direction. There is no
horizontal acceleration.
h
y
P
V
S x
Finds the displacement vector of the particle at time t.
A package of supplies is dropped from a plane to a disabled sailboat (S) in the ocean.
The plane is travelling at a constant velocity of 252 km/h and is 150 m above sea level
and directly due west of the disabled sailboat.
How long will it take the package to hit the water? (Take g = -10 m/s²)
A current is causing the boat to drift at a speed of 1.8 km/h in the same direction as
the plane is travelling. Between what two values (distances) can the plane drop the
package so that it lands at most 40 m from the disabled sailboat?
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