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