Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20243 May 2024Morning ShiftMathematicsApplication of DerivativesActual

A bullet is shot horizontally and its distance S cm at time t second is given by S =1200 t -15 t ^2 , then the distance covered by the bullet when it comes to the rest, is

Options

  1. A12000 cm
  2. B24000 cm
  3. C1200 cm
  4. D2400 cm

Correct answer

B. 24000 cm

Step-by-step solution

s=1200 t-15 t^2 Velocity ( v )= ds dt =1200-30 t When bullet stopped, ds dt =0 t=40 Hence, required distance =1200(40)-15 (40)^2=24000 ~cm

Practice Application of Derivatives on Quantrex Academy →

More from Application of Derivatives

Consider the quadratic equation a x^2+b x+c=0 , where 2 a+3 b+6 c=0 and let g(x)= a x^3 3 + b x^2 2 +c x . Statement-I : The given quadratic equation ax ^2+ bx + c =0 has at least 2025The difference between the absolute maximum and absolute minimum values of the function f(x)=2 x^3-15 x^2+36 x-30 on [-1,4] is 2025If f(x)=x e^ x(1-x) , x R , then f(x) is 2025The angle between the curves y ^2= x and x ^2= y at the point (1,1) is 2025If the tangent of the curve 4 y^3=3 a x^2+x^3 drawn at the point (a, a) forms a triangle of area 25 24 sq.units with the coordinate axes then a = 2025If the function f(x)= x- ^2 x is defined on the interval [- , ] , then f is strictly increasing in the interval 2025If the Lagrange's mean value theorem is applied to the function f(x)=e^x defined on the interval [1,2] and the value of c (1,2) is k , then e^ k-1 = 2025If the tangent to the curve x y+a x+b y=0 at (1,1) makes an angle Tan ⁻¹ 2 with X -axis, then ab a + b = 2025 Full Application of Derivatives list All MHT CET PYQs