Home
Class 11
PHYSICS
A metallic disc is being heated. Its are...

A metallic disc is being heated. Its area A(in `m^2`) at any time t(in second) is given by `A=5t^2+4t+8`. Calculate the rate of increase in area at `t=3s`.

Text Solution

AI Generated Solution

To find the rate of increase in the area of the metallic disc at \( t = 3 \) seconds, we will follow these steps: **Step 1: Write down the expression for the area.** The area \( A \) of the disc at any time \( t \) is given by: \[ A = 5t^2 + 4t + 8 \] ...
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    CENGAGE PHYSICS|Exercise Exercise 2.5|2 Videos
  • BASIC MATHEMATICS

    CENGAGE PHYSICS|Exercise Exercise 2.6|20 Videos
  • BASIC MATHEMATICS

    CENGAGE PHYSICS|Exercise Exercise 2.3|2 Videos
  • ARCHIVES 2 VOLUME 6

    CENGAGE PHYSICS|Exercise Integer|4 Videos
  • CALORIMETRY

    CENGAGE PHYSICS|Exercise Solved Example|13 Videos

Similar Questions

Explore conceptually related problems

A metallic disc is being heated. Its area (in m^(2) ) at any time t (in sec) is given by A=5t^(2)+4t . Calculate the rate of increase in area at t=3sec .

A metallic disc is being heated. Its area A ("in" m^2) at any time t ("in" sec) is given by A =5 t^2 +4 t+8 Calculate the rate of increase of area at t =3 s .

The area of blot of link is growing such that after t seconds, its area is given by A =(3t^(2)+7) cm^(2) . Calculate the rate of increases of area at t=5 second.

The area of a blot of ink is growing such that after t seconds, its area is given by A = (3t^(2) +7) cm^(2) . Calculate the rate of increase of area at t=5 second.

The area of a circle is given by A=pir^(2) , where r is the radius . Calculate the rate of increases of area w.r.t. radius.

The area 'A' of a blot of ink is growing such that after 't' second. A=3t^(2)+(t)/(5)+7 Calculate the rate of increase of area after five seconds.

A particle starts moving and its displace-ment after t seconds is given in meter by the relation x=5+4t+3t^2 . Calculate the magnitude of its a. Initial velocity b. Velocity at t=3s c. Acceleration

A particle moves along a straight line such that its displacement at any time t is given by s = 3t^(3)+7t^(2)+14t + 5 . The acceleration of the particle at t = 1s is

A particle starts from origin with uniform acceleration. Its displacement after t seconds is given in meter by the relation x=2+5t+7t^2 . Calculate the magnitude of its a. Initial velocity b. Velocity at t=4s c. Uniform acceleration d. Displacement at t=5s

The distance s metres covered by a boy in t second, is given by s=3t^(2)-8t+5 . The boy will stop after