Achild in danger of drowning in a river is being carried downstream by a current that flows due south uniformly with a speed of 3 km/hr. the child is 0.5 km from the shore and 2 km north (i. e., upstream) of a boat landing when a rescue boat sets out. a) if the boat proceeds at its maximum speed of 24 km/hr with respect to the water, what angle relative to north should the pilot point the bow of the boat in order to reach the child in the minimum amount of time? enter your answer in degrees. angle james walker

Let the rescue boat starts at an angle theta with the North

now its velocity towards East is given as

now in some time "t" it will catch the boy

so we will have

also we have

now we have

by solving above we got

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.