Math Problem Statement

Question 1: What is the speed of:

A) a car that travels 400m in 20 seconds?

B) an athlete who runs 1500m in 4 minutes?

Question 2: A particle moving with uniform acceleration of 2m/s² has a velocity of 4m/s at a certain time. What is the final velocity?

A) 1 second later?

B) 5 seconds later?

How to calculate and key points:

  • First write the given values.
  • then formula And you know how? Don't use words just use thier stander for like V stand for speed and you know the rest.

Solution

Question 1:

A)

Given:
d=400md = 400 \, \text{m}
t=20st = 20 \, \text{s}
Formula:
v=dtv = \frac{d}{t}
Calculation:
v=40020=20m/sv = \frac{400}{20} = 20 \, \text{m/s}

B)

Given:
d=1500md = 1500 \, \text{m}
t=4×60=240st = 4 \times 60 = 240 \, \text{s}
Formula:
v=dtv = \frac{d}{t}
Calculation:
v=1500240=6.25m/sv = \frac{1500}{240} = 6.25 \, \text{m/s}


Question 2:

Given:
u=4m/su = 4 \, \text{m/s}
a=2m/s2a = 2 \, \text{m/s}^2
Formula:
v=u+atv = u + at

A)

t=1st = 1 \, \text{s}
v=4+2(1)=6m/sv = 4 + 2(1) = 6 \, \text{m/s}

B)

t=5st = 5 \, \text{s}
v=4+2(5)=14m/sv = 4 + 2(5) = 14 \, \text{m/s}


Would you like details or have any questions?

Related Questions:

  1. What is the distance covered by the car in 30 seconds at the same speed?
  2. How much time will the athlete take to cover 3 kilometers at the same speed?
  3. What is the initial velocity of a particle if its final velocity after 3 seconds is 16 m/s, and acceleration is 2 m/s²?
  4. How far does the particle travel in 5 seconds if starting from rest with uniform acceleration of 2 m/s²?
  5. What is the average speed of a car that accelerates from 0 to 20 m/s in 10 seconds?

Tip:

To solve physics problems efficiently, always break them down into smaller steps by identifying the known values and selecting the right formula first.

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Math Problem Analysis

Mathematical Concepts

Kinematics
Uniform acceleration

Formulas

Speed formula: v = d / t
Final velocity formula with uniform acceleration: v = u + at

Theorems

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Suitable Grade Level

High School