Question

a car starts from rest and travels with a uniform acceleration the car travels 100 m in 5 s? what is the final velocity?​

Answer 1

Answer:

u=0 m/s

a=100m

t=5s

final velocity v=u+at

v=0+100*5

=500m/s

Answer 2

$\mathcal{\green{\underline{\blue{GIVEN:}}}}$

• Initial velocity (u) = 0 ms⁻¹ [The car starts from rest]
• Distance (s) = 100m
• Time = 5 seconds.

$\mathcal{\green{\underline{\blue{TO \:\: FIND:}}}}$

• Final velocity (v) = ?

$\mathcal{\green{\underline{\blue{SOLUTION:}}}}$

#Recall.

Recall the three equations of motion.

$\tt \to v=u+at\\\\\tt \to s=ut+\frac{1}{2} at^2\\\\\tt \to 2as = v^2-u^2$

Use the second formula to find acceleration because we are given :

$\to \tt {\blue{s=ut+\frac{1}{2} at^2}}$

$\to \tt 100=0 \times 5 + \frac{1}{2} \times a \times 5^2$

$\to \tt a=\frac{100 \times 2}{25}$

$\tt \to a=8ms^{-2}$

Now, use the first formula:

$\tt {\blue{v=u+at}}$

$\tt \to v=0+8 \times 5$

$\tt \to a=40 ms^{-1}$

${\pink{FINAL \:\: VELOCITY = 40ms^{-1}}}$

HOPE THIS HELPS :D