Please answer these 3 questions quickly..
Answers
8. Calculations and answer
a) Acceleration = change in velocity /time
Change in velocity = Final velocity - Initial velocity
= (V - 0)/T
V/T = 4
V = 4T
b) Distance = 1.4 × 1000 = 1400 M
Distance is equal to area under the graph.
Area under the graph is :
(4T + 3T) / 2 × V = 3.5 TV
But V = 4 T
3.5 T × 4T = 14T²
14T² = 1400
T² = 1400/14
T² = 100
T = 10 seconds
9. Calculations and answer
a) - 2.5 = (0 - V) /T
-2.5 = - V/T
V = 2.5T
V = 2.5 T
b) average speed = Total distance ÷ total time
Total distance = (3T/2) × V
1.5TV
But V = 2.5 T
1.5 T × 2.5T = 3.75T²
3. 75T²/2T = 1.875T
1.875T = 37.5
T = 20
T = 20 seconds
10) Calculations and answer
A) (V - 100) / T = -4
V - 100 = - 4T
V = 100 - 4T
B.) Area under the graph = Area of rectangle less area of trapezium
= (100 × 4T) - (5T/2) × (100 - V)
400 T - 2.5T(100 - V)
V = 100 - 4T
400T - 2.5T(100 - 100 + 4T)
400T - 10T²
4 × 1000 = 4000
400T - 10T² = 4000
Divide through by 10 we have :
40T - T² = 400
T² - 40T + 400 = 0
Solving the quadratic equation :
T² - 20T - 20T + 400 = 0
T(T - 20) - 20(T - 20) = 0
(T - 20)(T - 20) = 0
T = 20 Seconds
8. Calculations and answer
a) Acceleration = change in velocity /time
Change in velocity = Final velocity - Initial velocity
= (V - 0)/T
V/T = 4
V = 4T
b) Distance = 1.4 × 1000 = 1400 M
Distance is equal to area under the graph.
Area under the graph is :
(4T + 3T) / 2 × V = 3.5 TV
But V = 4 T
3.5 T × 4T = 14T²
14T² = 1400
T² = 1400/14
T² = 100
T = 10 seconds
9. Calculations and answer
a) - 2.5 = (0 - V) /T
-2.5 = - V/T
V = 2.5T
V = 2.5 T
b) average speed = Total distance ÷ total time
Total distance = (3T/2) × V
1.5TV
But V = 2.5 T
1.5 T × 2.5T = 3.75T²
3. 75T²/2T = 1.875T
1.875T = 37.5
T = 20
T = 20 seconds
10) Calculations and answer
A) (V - 100) / T = -4
V - 100 = - 4T
V = 100 - 4T
B.) Area under the graph = Area of rectangle less area of trapezium
= (100 × 4T) - (5T/2) × (100 - V)
400 T - 2.5T(100 - V)
V = 100 - 4T
400T - 2.5T(100 - 100 + 4T)
400T - 10T²
4 × 1000 = 4000
400T - 10T² = 4000
Divide through by 10 we have :
40T - T² = 400
T² - 40T + 400 = 0
Solving the quadratic equation :
T² - 20T - 20T + 400 = 0
T(T - 20) - 20(T - 20) = 0
(T - 20)(T - 20) = 0
T = 20 Seconds.
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