Question

a race car starting accelerate at constant rate of 5.00 m/s^2. what is the velocity of the car after travelled 100 ft?

Answer 1

Answer:-

• Acceleration=a=5m/s^2
• initial velocity=u=0m/s
• Distance traveled=s=100ft

Convert to meters

$\\ \sf{:}\twoheadrightarrow \dfrac{100}{3.2}=30.4m$

• Final velocity=v=?

According to third equation of kinematics

$\boxed{\sf v^2-u^2=2as}$

$\\ \sf{:}\twoheadrightarrow v^2-(0)^2=2(5)(30.4)$

$\\ \sf{:}\twoheadrightarrow v^2=304$

$\\ \sf{:}\twoheadrightarrow v=\sqrt{304}$

$\\ \sf{:}\twoheadrightarrow v=17.3m/s$