Question

while entering a free way a cae acclarates from rest to at a 2.5 mter per second for 12 seconds .how far dose it travels i 12 seconds .What is the cars velocity .​

Answer 1

Answer:

$\boxed{\bold{180 m}}$   and   $\boxed{\bold {30m/s}}$

Explanation:

Question:

While entering a free way, a car accelerates from rest at a rate of 2.5 $\bold{m/s^{2} }$

for 12 seconds .How far does it travel in 12 seconds?  .What is the car's velocity ?

Given:

• Initial velocity, u = 0 m/s             ( Since at rest )

• Acceleration ,a = 2.5 $\bold{m/s^{2} }$

• Time,t = 12 s

To find:

• The distance travelled by the car in 12 seconds= ?

• The car's final velocity = ?

$\boxed{\bold{Solution}}$

According to the equation of motion :

$\boxed{\bold{S=ut+\dfrac{1}{2}at^{2} }}$

⇒S= 0 × 12 + $\dfrac{1}{2}$ × 2.5 × $\bold{12^{2} }$

⇒S= 0 +  2.5 × 12 × 6

⇒ $\underline{\underline{\bold{S = 180m}}}$

∴The distance travelled by the car in 12 seconds= $\boxed{\bold{180 m}}$

Now, To find the velocity of the car ,

v = u + at

⇒v = 0 + 2.5 × 12

⇒v = 0 +  30

⇒$\bold{v =\underline{ \underline{ 30m/s}}}$

∴The car's  velocity = $\boxed{\bold {30m/s}}$