Aboat travels 40 miles in two hours, speeds up to travel the next 80 miles in three hours then slows down to travel the last 40 miles in three hours. what is the average speed of the boat the entire trip?

Average speed, v = 2 miles/hour

Explanation:

It is given that, a boat travels 40 miles in two hours, speeds up to travel the next 80 miles in three hours then slows down to travel the last 40 miles in three hours.

Total distance travelled, d = 40 + 80 + 40 = 160 miles

Total time taken by the boat, t = 2 + 3 + 3 = 8 hours

We need to find the average speed of the boat the entire trip. It is given by total distance travelled by the boat divided by total time taken. Mathematically,

v = 2 miles/hour

So, the average speed of the boat the entire trip is 2 miles/hour. Hence, this is the required solution.

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initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft