Question

A cyclist driving at 5m/s picks a velocity of 10m/s over a distance of 50 m calculate the acceleration

Answer 1

u=5m/s
v=10m/s
s=50m
a=????
${v}^{2} = {u}^{2} + 2as \\ 10 {}^{2} = 5 {}^{2} + 2 \times a \times 50 \\ 100 = 25 + 100a \\ 100 - 25 = 100a \\ a = \frac{75}{100} = \frac{3}{4} = 0.75$
So, acceleration is 0.75m/s^2.

Answer 2

now u=5 m/s
and v=10 m/s
and s=50 m

now v^2 =u^2 +2as
therefore 100=25+100a
100a=100-25=75
a=75/100=0.75m/s^2