Answer:
The ball travels with a speed of 1.96 m/s in a North East direction
Explanation:
Based on the law of conservation of linear momentum, we have that
Since this problem involves motion in both the x and y coordinates, we will solve it in the separate coordinates, and then find the resultant as our answer.
Momentum in the x- direction
in the x direction, 
. this makes 
hence we have
Momentum in the y- direction
in the y direction, 
. this makes 
hence we have
The resultant of the two vectors can be found using Pythagoras' theorem
The direction of the resultant vector is found as
Hence the ball moves with a velocity of 1.96m/s in a North East direction
Assuming the driver starts slamming the brakes immediately, the car moves by uniformly decelerated motion, so we can use the following relationship
(1)
where
a is the deleceration
S is the distance covered after a time t
is the velocity at time t
is the initial speed of the car
The accident is 80 m ahead of the car, so the minimum deceleration required to avoid the accident is the value of a such that S=80 m and
(the car should stop exactly at S=80 m to avoid the accident). Using these data, we can solve the equation (1) to find a:
And the negative sign means it is a deceleration.
The amount of solid does not affect how you are describing the solid so a is the answer
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