A stone is thrown vertically into the air at an initial velocity of 96 ft/s. On Mars, the height s (in feet) of the stone above
the ground after t seconds is s=69t-6t2and on Earth it is s=69t-16t2. How much higher will the stone travel on Mars than on Earth?
1 answer:
Answer:
240 ft
Explanation:
t = Time taken
u = Initial velocity = 96 ft/s
v = Final velocity
s = Displacement
a = Acceleration = 12 m/s² on Mars 32 ft/s² on Earth negative due to upward direction
Mars

Earth

Differentiating the first equation with respect to time we get

Equating with zero

Differentiating the second equation with respect to time we get
Equating with zero

Applying the time taken to the above equations, we get


Difference in height = 384-144 = 240 ft
The stone will travel 240 ft higher on Mars
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