His new time compared with the old time was increased by factor of 2
Further explanation
Acceleration 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 miles
second distance = d₂ = 300 miles
v₂ = 3 v₁
Unknown:
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 more
- Velocity of Runner : https://brainly.com/question/3813437
- Kinetic Energy : https://brainly.com/question/692781
- Acceleration : https://brainly.com/question/2283922
- The Speed of Car : https://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
