The position of an object moving along x-axis is given by x = a + $b t^{2}$ , where a = 8.5 m and b = 2.5 m $s^{- 2}$ and t is measured in seconds. The average velocity of the object between t = 2 s and t = 4 s is

Question

The position of an object moving along x-axis is given by x = a +

b t^{2}

, where a = 8.5 m and b = 2.5 m

s^{- 2}

and t is measured in seconds. The average velocity of the object between t = 2 s and t = 4 s is

Toppr Admin · Accepted Answer

Position is given as-xA0-xA0- x-a-bt2-8-5-2-5t2Position at t-2-xA0-s-xA0- x2-8-5-2-5-2-2-18-5-xA0-mPosition at t-4-xA0-s-xA0-xA0- x1-8-5-2-5-4-2-48-5-xA0-mDisplacement-xA0- S-x2-x2212-x1-48-5-x2212-18-5-30-xA0-mTime taken-xA0- t-4-x2212-2-2-xA0-sAverage velocity-xA0- Vavg-St-302-15-xA0-m-s

The position of an object moving along x-axis is given by x = a + bt2, where a = 8.5 m and b = 2.5 m s−2 and t is measured in seconds. The average velocity of the object between t = 2 s and t = 4 s is20 m s−15 m s−110 m s−115 m s−1

Position is given as x=a+bt2=8.5+2.5t2Position at t=2 s, x2=8.5+2.5(2)2=18.5 mPosition at t=4 s, x1=8.5+2.5(4)2=48.5 mDisplacement S=x2−x1=48.5−18.5=30 mTime taken t=4−2=2 sAverage velocity Vavg=St=302=15 m/s

The position of an object moving along x-axis is given by x = a + $b t^{2}$ , where a = 8.5 m and b = 2.5 m $s^{- 2}$ and t is measured in seconds. The average velocity of the object between t = 2 s and t = 4 s is
20 m $s^{- 1}$
5 m $s^{- 1}$
10 m $s^{- 1}$
15 m $s^{- 1}$