Answer:
a)
, b) 
Explanation:
a) The maximum height is obtained with the help of the First and Second Derivative Tests:
First Derivative



Second Derivative
(absolute maximum)
The maximum height reached by the ball is:


b) The time required by the ball to hit the ground is:




Just one root offers a solution that is physically reasonable:

The velocity of the ball when it hits the ground is:


If you stay on or near the surface of Earth, then the acceleration due to gravity
is constant. It's 9.807 meters per second squared. (rounded)
Answer:
Work done on the box = 32 J
Explanation:
Work done = Force x Displacement.
Force applied on the box = 16 N
Displacement of box = 2 meter.
Work done on the box = Force applied on the box x Displacement of box
= 16 x 2 = 32 Nm = 32 J
Work done on the box = 32 J
Answer:
HENCE (3) IS ANSWER
Explanation:
α =ΔL/(LO×Δ T) or ΔL= α(LO×Δ T)
HERE ΔL IS CHANGE IN LENGTH, Lo is original length , α is coefficient of linear expansion , Δ T is change in temperature
α= 11 x 10 ^-6/°C , Δ T = 19-20 = -1°C
hence
ΔL= 11 x 10 ^-6×10×-1
= - 11×10^-5
MINUS SIGN SHOWS SHORTER
HENCE (3) IS ANSWER