Human Chess. Rules 1.Spread yourselves around the room 2.First to get to an answer puts their hand...

Human Chess

Rules

1. Spread yourselves around the room2. First to get to an answer puts their hand up3. I wait for first 3 hands4. If the first person is correct they roll a die which

determines how many steps they can take. On their ‘walk’ they can eliminate anyone by touching them on the arm.

5. Last man/woman standing!6. BUT… If you have been eliminated and answer a

question correctly, you’re back in the game.

Question 1

A stone is projected vertically upwards so that its position above the ground level after t seconds is given by:

s(t) = 98t-4.9t2

Find the velocity and acceleration functions for the stone and find the initial position and velocity for the stone.

Question 1

A stone is projected vertically upwards so that its position above the ground level after t seconds is given by:

s(t) = 98t-4.9t2

Find the maximum height reached by the stone

Question 1

A stone is projected vertically upwards so that its position above the ground level after t seconds is given by:

s(t) = 98t-4.9t2

Find the time taken for the stone to hit the ground

Question 2

The height (cm) of a certain species of shrub t years after it was planted is given by:

H(t) = 20 ln (3t + 2) + 30

How high was the shrub when it was planted?

Question 2

The height (cm) of a certain species of shrub t years after it was planted is given by:

H(t) = 20 ln (3t + 2) + 30

How long did it take for the plant to reach a height of 1m?

Question 2

The height (cm) of a certain species of shrub t years after it was planted is given by:

H(t) = 20 ln (3t + 2) + 30

At what rate is the shrub’s height changing 3 years after being planted?

Question 3

A body moves along the x-axis with the displacement function:

x(t) = 100 (2 – e-t/10) where x is in cm

Find the acceleration function

Question 3

A body moves along the x-axis with the displacement function:

x(t) = 100 (2 – e-t/10) where x is in cm

Find the initial velocity and acceleration of the body

Question 3

A body moves along the x-axis with the displacement function:

x(t) = 100 (2 – e-t/10) where x is in cm

Find t when x = 150 cm

Question 4

A particle, P, moves in a straight line so that its displacement from the origin (cm) is given by:

s(t) = 100t + 200e-t/5

Where t is the time in seconds.

Find when the velocity of P is 80 cm/s