Question

The following figure gives the movement of an object. Select the correct statement from the given choices.

• A. The total distance travelled by the object is 975 m
• B. The maximum acceleration of the object is $2m/s^2$
• C. The maximum declaration happend between $25^{th}$ and $35^{th}$ seconds
• D. The object was at rest between $10^{th}$ and $15^{th}$ seconds

Answer 1

Answer: (A)

The total distance travelled by the object is 975 m

Answer 2

The total distance travelled by the object will be area of given graph in the figure.
So, the total distance travelled by the object
$=$ Area of $(1)+$ Area of $(2)+$ Area of $(3)+$ Area of $(4)$
$+$ Area of $(5)+$ Area of $(6)+$ Area of $(7)$
$=\frac{1}{2} \times 10 \times 15+(20-10) \times(15-0)$
$+\frac{1}{2 m}(25-15) \times(40-15)+(35-25)$
$(20-0) +\frac{1}{2}(35-25) \times(40-20)+$
$(45-35) \times(20-0)+\frac{1}{2}$
$(50-45) \times(15-0)$
$=975\, m$