Human Chess

Rules 1.Spread yourselves around the room 2.First to get to an answer puts their hand up 3.I wait for first 3 hands 4.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-4.9t 2 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-4.9t 2 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-4.9t 2 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