Answer:
Part a)

Part b)

Explanation:
Part a)
Force on the object due to spring force is given as

here we know that


so we have


Part b)
Acceleration of the object is given as



Answer:
Continuous random variable
Explanation:
The distance that baseball travels after being hit is a random variable and it assume any real value defined on the sample space.
The distance is measurable and thus is continuous random variable because continuous variable cannot be counted but could be measured.
Answer:
Part a)
v = 16.52 m/s
Part b)
v = 7.47 m/s
Explanation:
Part a)
(a) when the large-mass object is the one moving initially
So here we can use momentum conservation as the net force on the system of two masses will be zero
so here we can say

since this is a perfect inelastic collision so after collision both balls will move together with same speed
so here we can say



Part b)
(b) when the small-mass object is the one moving initially
here also we can use momentum conservation as the net force on the system of two masses will be zero
so here we can say

Again this is a perfect inelastic collision so after collision both balls will move together with same speed
so here we can say



Answer:
-0.805 m
Explanation:
The x-component of a vector is given by:

where
v is the magnitude of the vector
is the angle of the vector with respect to the positive x-direction
In this problem we have
v = 0.888 m

so we have
