Simple python exercise

Suppose object A is traveling towards object B with a speed v. A and B are separated by a
distance d. If A is decelerating by a value of a , we want to determine if it will hit the object B.
The user must provide the following values d, v and a. d is in the range [5,10], a is in the range
[-100,0] and v is in the range [1,10]. The distance travelled by the object A in time t (a positive
number less than 10 that is also to be received from the user) can be calculated as:

s = max(0, vt + 0.5at^2)

If s is greater than or equal to d then the object will collide. Write a python program that does
the following: (i) determines if the objects collide for a given set of d, v, a and t. (ii) for a given
value of d and v, and starting with a = -50, determines the critical value of a at which A will just
touch B.

Hint: To find the critical value of a, keep increasing a by a small amount (example, 0.2 ), and for
each value of a scan through a long range of t to conclusively establish if the object A hits B or
not. Note: All values are floating point data.