A particle moves according to the equation x = 2t2 – 5t + 6.... | PHYSICS - AVERAGE VELOCITY AND AVERAGE SPEED | SolveeIt | Solveeit

Today, August 20

Question

A particle moves according to the equation x = 2t² – 5t + 6. Find (i) average velocity in the first 3 sec and (ii) velocity at t = 3 s.

A

1 ms^-1, 7 ms^-1

B

4 ms^-1, 3 ms^-1

C

2 ms^-1, 5 ms^-1

D

3 ms^-1, 7 ms^-1

Answer

1 ms^-1, 7 ms^-1

Explanation

Solution

x(3) = 2(3)² – 5(3) + 6 = 93x (0) = 6

v_av = $\frac { x ( 3 ) - x ( 0 ) } { 3 - 0 } = \frac { 9 - 6 } { 3 }$ = 1 ms^-1

= 4t – 5 = 4(3) – 5 = 7 ms^-1