question archive a body moving with uniform acceleration has a velocity of-11cm/s when its x coordinate is 3
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Answer:
case 1:- initial velocity of moving body, u = -11cm/s.
initial position of body , = 3cm
final position of body , s = -5cm
taken taken by body to move initial position to final position, t = 2s
using formula,
s = + ut + 1/2 at²
or, -5cm = 3cm + (-11cm/s) × 2s + 1/2 × a(2s)²
or, -5 - 3 = -22 + 1/2 × a × 4
or, -8 + 22 = 2a
or, a = 7cm/s²
hence, acceleration of body will be 7cm/s²
if velocity is given -11cm/s , then magnitude of acceleration will be 7cm/s².
case2 : if initial velocity of body, u = 11 cm/s
initial position of body , = 3cm
final position of body , s = -5cm
taken taken by body to move initial position to final position, t = 2s
using formula,
s = + ut + 1/2 at²
or, -5cm = 3cm + (11cm/s) × 2s + 1/2 × a(2s)²
or, -5 - 3 = 22 + 1/2 × a × 4
or, -8 - 22 = 2a
or, a = 15cm/s²
hence, if initial velocity of body is 11cm/s then, magnitude of acceleration will be 15 cm/s² .