Photo AI

A stone is projected horizontally from a cliff - Edexcel - A-Level Physics - Question 11 - 2023 - Paper 1

Question 11

A stone is projected horizontally from a cliff. The initial horizontal velocity of the stone is 3.8 m s⁻¹. The initial height of the stone is 12 m, as shown. Calc... show full transcript

Worked Solution & Example Answer:A stone is projected horizontally from a cliff - Edexcel - A-Level Physics - Question 11 - 2023 - Paper 1

Step 1

Calculate time of flight

96%

114 rated

Answer

To find the time it takes for the stone to hit the ground, we can use the formula for free fall:

$h = rac{1}{2} g t^2$

where:

$h$ is the height (12 m),
$g$ is the acceleration due to gravity (approximately 9.81 m s⁻²),
$t$ is the time in seconds.

Rearranging for $t$ , we have:

$t = ext{sqrt} rac{2h}{g} = ext{sqrt} rac{2 \times 12}{9.81} \approx 1.55 ext{ s}$

Step 2

Calculate horizontal distance

99%

104 rated

Answer

Now that we have the time of flight, we can calculate the horizontal distance ( $d$ ) traveled using the formula:

$d = v \times t$

where:

$v$ is the initial horizontal velocity (3.8 m s⁻¹),
$t$ is the time (1.55 s).

Plugging in the values:

$d = 3.8 \times 1.55 \approx 5.89 ext{ m}$

Join the A-Level students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;