मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता १२

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 - Mathematics

Advertisements
Advertisements

प्रश्न

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

पर्याय

  • t = 0

  • t = `1/3`

  • t = 1

  • t = 3

MCQ
Advertisements

उत्तर

t = `1/3`

shaalaa.com
Meaning of Derivatives
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Applications of Differential Calculus - Exercise 7.10 [पृष्ठ ५४]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 7 Applications of Differential Calculus
Exercise 7.10 | Q 3 | पृष्ठ ५४

संबंधित प्रश्‍न

A particle moves along a straight line in such a way that after t seconds its distance from the origin is s = 2t2 + 3t metres. Find the average velocity between t = 3 and t = 6 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 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?


If the volume of a cube of side length x is v = x3. Find the rate of change of the volume with respect to x when x = 5 units


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 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?


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, at what rate, the area of the triangle formed by the ladder, wall, and the floor, is changing?


A police jeep, approaching an orthogonal intersection from the northern direction, is chasing a speeding car that has turned and moving straight east. When the jeep is 0.6 km north of the intersection and the car is 0.8 km to the east. The police determine with a radar that the distance between them and the car is increasing at 20 km/hr. If the jeep is moving at 60 km/hr at the instant of measurement, what is the speed of the car?


Find the slope of the tangent to the following curves at the respective given points.

y = x4 + 2x2 – x at x = 1


Find the slope of the tangent to the following curves at the respective given points.

x = a cos3t, y = b sin3t at t = `pi/2`


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

y = x4 + 2ex at (0, 2)


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

y = x sin x at `(pi/2, pi/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 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


Show that the two curves x2 – y2 = r2 and xy = c2 where c, r are constants, cut orthogonally


Choose the correct alternative:

The volume of a sphere is increasing in volume at the rate of 3π cm3/ sec. The rate of change of its radius when radius is `1/2` cm


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×