Question

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:

Answer 1

His new time compared with the old time was increased by factor of 2

Further explanation

Acceleration is rate of change of velocity.

$\large {\boxed {a = \frac{v - u}{t} } }$

$\large {\boxed {d = \frac{v + u}{2}~t } }$

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 miles

second distance = d₂ = 300 miles

v₂ = 3 v₁

Unknown:

t₂ : t₁ = ?

Solution:

To find his new time , we will use the following formula.

$v_2 = 3 v_1$

$\frac{d_2}{t_2} = 3 \times \frac{d_1}{t_1}$

$\frac{300}{t_2} = 3 \times \frac{50}{t_1}$

$\frac{300}{t_2} = \frac{150}{t_1}$

$t_2 = \frac{300}{150} \times t_1$

$\large {\boxed {t_2 = 2 \times t_1} }$

Learn more

• Velocity of Runner : brainly.com/question/3813437

• Kinetic Energy : brainly.com/question/692781

• Acceleration : brainly.com/question/2283922

• The Speed of Car : brainly.com/question/568302

Answer details

Grade: High School

Subject: Mathematics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate , Sperm , Whale , Travel