English
Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: The position of a particle moving along a horizontal line of any time t is given by s(t) = 3t2 – 2t – 8. The time at which the particle is at rest is

Advertisements
Advertisements

Question

Choose the correct alternative:

The position of a particle moving along a horizontal line of any time t is given by s(t) = 3t2 – 2t – 8. The time at which the particle is at rest is

Options

  • t = 0

  • t = `1/3`

  • t = 1

  • t = 3

MCQ
Advertisements

Solution

t = `1/3`

shaalaa.com
Meaning of Derivatives
  Is there an error in this question or solution?
Chapter 7: Applications of Differential Calculus - Exercise 7.10 [Page 54]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 7 Applications of Differential Calculus
Exercise 7.10 | Q 3 | Page 54

RELATED QUESTIONS

A camera is accidentally knocked off an edge of a cliff 400 ft high. The camera falls a distance of s = 16t2 in t seconds. What is the average velocity with which the camera falls during the last 2 seconds?


A camera is accidentally knocked off an edge of a cliff 400 ft high. The camera falls a distance of s = 16t2 in t seconds. What is the instantaneous velocity of the camera when it hits the ground?


A particle moves along a line according to the law s(t) = 2t3 – 9t2 + 12t – 4, where t ≥ 0. At what times the particle changes direction?


A stone is dropped into a pond causing ripples in the form of concentric circles. The radius r of the outer ripple is increasing at a constant rate at 2 cm per second. When the radius is 5 cm find the rate of changing of the total area of the disturbed water?


A beacon makes one revolution every 10 seconds. It is located on a ship which is anchored 5 km from a straight shoreline. How fast is the beam moving along the shoreline when it makes an angle of 45° with the shore?


A conical water tank with vertex down of 12 metres height has a radius of 5 metres at the top. If water flows into the tank at a rate 10 cubic m/min, how fast is the depth of the water increases when the water is 8 metres deep?


A ladder 17 metre long is leaning against the wall. The base of the ladder is pulled away from the wall at a rate of 5 m/s. When the base of the ladder is 8 metres from the wall. How fast is the top of the ladder moving down the wall?


Find the tangent and normal to the following curves at the given points on the curve

y = x2 – x4 at (1, 0)


Find the tangent and normal to the following curves at the given points on the curve

y = x4 + 2ex at (0, 2)


Find the equations of the tangents to the curve y = 1 + x3 for which the tangent is orthogonal with the line x + 12y = 12


Find the equations of the tangents to the curve y = `- (x + 1)/(x - 1)` which are parallel to the line x + 2y = 6


Find the equation of tangent and normal to the curve given by x – 7 cos t andy = 2 sin t, t ∈ R at any point on the curve


Find the angle between the rectangular hyperbola xy = 2 and the parabola x2 + 4y = 0


Choose the correct alternative:

The slope of the line normal to the curve f(x) = 2 cos 4x at x = `pi/12` is


Choose the correct alternative:

Angle between y2 = x and x2 = y at the origin is


Choose the correct alternative:

The maximum slope of the tangent to the curve y = ex sin x, x ∈ [0, 2π] is at


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×