Acar moves in a straight line at 22.0 m/s for 10.0miles, then at 30.0 m/s for another 10.0miles. calculate the car’s average speed in m/s

25.38 m/s

Explanation:

We have a straight line where the car travels a total distance , which is divided into two segments :

(1)

Where

On the other hand, we know speed is defined as:

(2)

Where is the time, which can be isolated from (2):

(3)

Now, for the first segment the car has a speed , using equation (3):

(4)

(5)

(6) This is the time it takes to travel the first segment

For the second segment the car has a speed ,  hence:

(7)

(8)

(9) This is the time it takes to travel the secons segment

Having these values we can calculate the car's average speed :

(10)

(11)

Finally:

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