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Answers
(1) what is the distance travelled by the object in the first two seconds?
In velocity - time graph,
Distance covered by the object
= area under the v - t graph
Distance travelled in 2 sec
= Area of ∆ ABE
= 1/2 × base × height
= 1/2 × AE × BE
= 1/2× 2 × 15
= 30/2
= 15 m
Distance travelled in 2 sec = 15 m
(2) calculate the total distance travelled by the object?
Total distance
= Area of ∆ ABE + Area of EBCF + Area of triangle ∆ FCD
= 1/2 × AE× BE + EB × BF + 1/2 × FD× CF
= 1/2× 2 × 15 + (5-2)×15 +1/2× (6-5) × 15
= 15 + 15 ×3 + 15/2
= 15 + 45+ 7.5
= 67.5 m
Total distance travelled by the object= 67.5 m
(3) find the acceleration between A and B B and C, C and D
the slope of the V-T graph = acceleration
A and B
Slope = tan x = BE / AE =15/2= 7.5 m/s ²
Slope = acceleration = 7.5 m /s ²
B and C
Slope = 0
acceleration = 0
A and B
Slope = tan x = CF/ FD =15/1= 15 m/s ²
Slope = acceleration = 15 m /s ²
HEY MATE HERE IS YOUR ANSWER.
ACCORDING TO THE QUESTION
1) Distance travelled in first two seconds= Area of ∆ABE
S = ½ × base × height
S = ½ × 2 × 15
S = 15m
2) Total distance = Area of ∆ABE+Area of BCEF + Area of ∆CFD
S = 15 + 15×3 + ½×15×1
S = 15 + 45 + 7.5
S = 67.5m
3) Acceleration from A to B = perpendicular/base
= 15/2
= 7.5m/s^2
Acceleration from B to C = it is constant so acceleration will be 0m/s^2
Acceleration from C to D = 15/1
= 15m/s^2