In the s- t equation (s = 10 + 20 t - 5t² ), match the following columns and mark the correct option from the codes given below.
Column I Column II
(A) Distance travelled in 3 s (p) -20 units
(B) Initial acceleration (q) 15 units
(C) Velocity at 4 s (r) 25 units
(s) -10 units
Codes
A B C

Moderate

Solution

At $t = 3 s, s = 10 + 20 (3) - 5 (3)^{2} = 25 unit$ at t=0, s=10 unit
so distance travelled=25-10=15 unit.
$v = \frac{d s}{d t} = 20 - 10 t$
At $t = 4 s, v = 20 - 10 (4) = - 20 unit$
$a = \frac{d v}{d t} = - 10 units$
Hence, A $\to$ q, B $\to$ s, C $\to$ p.

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