Stardust the unicorn, covered a distance of 50 miles on his first trip to the forest. On a later trip he travelled 300 miles while going three times as fast. His new time compared with the old time was:

His new time compared with the old time was increased by factor of 2Further explanationAcceleration is rate of change of velocity.[tex]\large {\boxed {a = \frac{v - u}{t} } }[/tex][tex]\large {\boxed {d = \frac{v + u}{2}~t } }[/tex]a = acceleration (m / s²)v = final velocity (m / s)u = initial velocity (m / s)t = time taken (s)d = distance (m)Let us now tackle the problem!This problem is about Kinematics.In this problem we assume that the unicorn is moving at a constant speed so that the acceleration is zero.Given:first distance = d₁ = 50 milessecond distance = d₂ = 300 milesv₂ = 3 v₁Unknown:t₂ : t₁ = ?Solution:To find his new time , we will use the following formula.[tex]v_2 = 3 v_1[/tex][tex]\frac{d_2}{t_2} = 3 \times \frac{d_1}{t_1}[/tex][tex]\frac{300}{t_2} = 3 \times \frac{50}{t_1}[/tex][tex]\frac{300}{t_2} = \frac{150}{t_1}[/tex][tex]t_2 = \frac{300}{150} \times t_1[/tex][tex]\large {\boxed {t_2 = 2 \times t_1} }[/tex]Learn moreVelocity of Runner : Energy : : Speed of Car : Answer detailsGrade: High SchoolSubject: MathematicsChapter: KinematicsKeywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate , Sperm , Whale , Travel