Question

A truck is traveling with 60 ms-1 initial velocity with constant acceleration 8 ms-2. Find the distance traveled by truck in 9 minutes?

Select one:

a. 1.2×106 m

b. 1.2×109 m

c. 1.2×105 m

d. 1.2×107 m

e. 2.2×105 m


​

Answer 1

Given :-

• Initial velocity (u) = 60m/s

• Time (t) = 9 minutes
• in seconds :- 9×60 = 540 sec

• Acceleration (a)= 8m/s^2

To find :-

• Distance covered by the truck !

By using second equation of motion ,

$\boxed{\sf\ s= ut+\dfrac{1}{2}at^2}$

$\longrightarrow\sf s= 60\times 540 +\dfrac{1}{2}\times 8\times (540)^2\\ \\ \\ \longrightarrow\sf s= 32,400+ \dfrac{1}{\cancel{2}}\times \cancel{8}\times 291,600\\ \\ \\ \longrightarrow\sf s= 32,400+ 4\times 291,600\\ \\ \\ \longrightarrow\sf s= 32,400+1,166,400\\ \\ \\ \longrightarrow\sf s= 1,198,800 m\ \ ( estimate\ this ) \\ \\ \\ \longrightarrow\sf s = 1,200,000 m( now \ convert \ in \ scientific\ notation ) \\ \\ \longrightarrow\sf s = 1.2\times 10^6m$

• Correct option is a

$\underline{\bigstar{\sf\ Distance \ travelled \ : \ 1.2\times 10^6m}}$

Answer 2

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Question}}}}}}}}$

A truck is traveling with 60 ms-1 initial velocity with constant acceleration 8 ms-2. Find the distance traveled by truck in 9 minutes?

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Solution}}}}}}}}$

${\bold{\blue{\boxed{\bf{Given}}}}}$

• Initial velocity = u = 60m/s
• Time = t = 9 minutes = 540 sec
• Acceleration = a = $8m/s^2$

${\bold{\blue{\boxed{\bf{To\:find}}}}}$

• Distance covered = s = ???

${\bold{\blue{\boxed{\bf{solution}}}}}$

${\bold{\blue{\boxed{\bf{s = ut + \dfrac{1}{2}at^2}}}}}$

$\sf\implies s = 60\times 540 \dfrac{1}{2} \times 8 \times 540^2$

$\sf\implies s = 60\times 540+\dfrac{1}{\cancel 2} \times\cancel 8 \times 540^2$

$\sf\implies s = 60\times 540 + 4 \times 540^2$

$\sf\implies s = 60\times 540 + 4 \times 291600$

$\sf\implies s = 32400+ 1166400$

$\sf\implies s = 1198800m$

• round off the digit

$\sf\implies s = 1200000m$

$\sf\implies s = 1.2 \times 10^6meter$

${\bold{\blue{\boxed{\bf{\dag correct answer = a = 1.2\times 10^6meter}}}}}$

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