A plane starts from rest with acceleration of 3 ms-2 and makes a run for 35 s before taking off. The minimum length of runway and velocity of plane at take off are respectively

Question

A plane starts from rest with acceleration of 3 ms-2 and makes a run for 35 s before taking off. The minimum length of runway and velocity of plane at take off are respectively (A) 1838 m, 105 ms-1 (B) 1388 m, 501 ms-1 (C) 3188 m, 51 m s-1 (D) 838 m, 95 ms-1.

Tardigrade Admin · Accepted Answer

Using S = ut + (1/2) at2, we get S = 0 + (1/2) × 3 × 352 = 1837.5 m Using upsilon = u + at , we get upsilon = 0 + 3 × 35 = 105 m s-1

Q. A plane starts from rest with acceleration of $3 m s^{- 2}$ and makes a run for $35 s$ before taking off. The minimum length of runway and velocity of plane at take off are respectively

$1838 m, 105 m s^{- 1}$

$1388 m, 501 m s^{- 1}$

$3188 m, 51 m s^{- 1}$

$838 m, 95 m s^{- 1} .$

Using S = $u t + \frac{1}{2} a t^{2}$ , we get
S = $0 + \frac{1}{2} \times 3 \times 3 5^{2}$ = 1837.5 m
Using $υ = u + a t$ , we get $υ = 0 + 3 \times 35 = 105 m s^{- 1}$

Q. A plane starts from rest with acceleration of 3ms−2 and makes a run for 35s before taking off. The minimum length of runway and velocity of plane at take off are respectively

1838m,105ms−1

1388m,501ms−1

3188m,51ms−1

838m,95ms−1.