Question

A net force of 126 N [S] is applied to a 70 kg sprinter. Determine the acceleration of

the sprinter. [ans: 1.8 m/s? [S]]

Answer 1

ACCELERATION

`\color{darkblue} \mathbb{ANSWER:}`

• Yes, the acceleration of the sprinter is 1.8 but it should be measured in meters per second squared.

`\color{darkblue} \mathbb{EXPLANATION:}`

— The formula for acceleration is given by:

• 
  `\underline{ \boxed{ \tt a = (F)/(m) }}`

where,

• a is the acceleration measured in meters per second squared (m/s²)
• F is the net Force (Newtons/N)
• m is the mass (kilograms/kg)

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— To get the acceleration, divide the given net force by the given mass. Its quotient is the acceleration that should be measured in meters per second squared (m/s²).

Using our formula/equation, we get:

• 
  `\tt a = (F)/(m) \\ \: \: \: \: \: \: \: \tt \: a = (126 \:N )/(70 \: kg) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt \: a = \underline{ \boxed{ \purple{ \tt \: 1.8 \: m/s²}}}`

`\color{darkblue} \mathbb{FINAL \: \: ANSWER:}`

• 
  `\bold{1.8 \: m/s²} \\`

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