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Class 10 Class 12

The relation between time t and distance x is t=ax2 +bx where a and b are constants. The acceleration is

• −2abv2

• 2bv3

• −2av3

• 2av2

C.

−2av3

if t = ax2+bx
then, differentiate both side with respect to time (t)

Again differentiate both side with respect to time (t)
Hence, retardation= -2av3
if t = ax2+bx
then, differentiate both side with respect to time (t)

Again differentiate both side with respect to time (t)
Hence, retardation= -2av3

Give three examples of scalar quantities.

Mass, temperature and energy
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What is a scalar quantity?

A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
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What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
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Give three examples of vector quantities.

Force, impulse and momentum.
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What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

A quantity must possess the direction and must follow the vector axioms. Any quantity that follows the vector axioms are classified as vectors.

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