1. A construction worker accidentally drops a hammer from a height of 90 m while working

on the roof of a new apartment building. The height, s, in metres, of the hammer after t

seconds can be modelled by the function s(t)=90-4.9t^2 , t>0 .

1a. Determine the velocity at 1 s and 4 s.

1b. When will the hammer hit the ground?

1c. Determine the impact velocity of the hammer.

2.The motion of a particle is described by the position function s(t)=2t^3-15t^2+33t+17 , t=0 , where t is measured in seconds and s(t) in meters.

2a. When is the particle at rest?

2b. When is the velocity positive?

2c. Draw a diagram to illustrate the motion of the particle in the first 10 seconds.

2d. Find the total distance traveled in the first 10 seconds.