Assignment:
Q1. A ball is thrown directly upward from the ground. Its height above the ground is given by
h=50t - 5t2
where h is measured in metres and t is measured in seconds. Determine
a)its initial velocity
b)the maximum height of the ball
c)when the velocity is negative
d)how long the ball is in the air
e)the velocity with which the ball strikes the ground
Q2. The population (P) of a bacteria culture is described by
P(t)=20t3 + 150t + 1000
where t is measured in hours. Calculate how many bacteria exist at t=10 hours, as well as the population’s growth rate at that time.
Provide complete and step by step solution for the question and show calculations and use formulas.