Consider a car that travels between points a and b. the car's average speed can be greater than the magnitude of its average velocity, but the magnitude of its average velocity can never be greater than its average speed. a) true b) false

Explanation:

True

Average speed is the ratio of total distance traveled to the total time taken and average velocity is total displacement to the total time.

And we know distance is either equal to or greater than displacement so we can say that for equal time interval magnitude of average velocity can never be greater than average speed.  

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