Physics with Calculus
Take-home quiz
1. Consider a toy rocket being launched from rest. The rocket has a 5-s period of acceleration, after which it has attained a velocity of 45 m/s upward. Find the following:
a. the acceleration of the rocket
b. the height the rocket has achieved by the end of 5 seconds
c. the maximum height the rocket will attain
d. the total time in air spent by the rocket by the time it lands back on the ground
e. 3 graphs of motion that depict the entire flight of the rocket (x vs. t, v vs. t, a vs. t)
2. Consider a body that moves according to the following expression: x = 5t^2 – 10t + 4. Find the following:
a. expressions for velocity and acceleration
b. the time when the velocity becomes zero
c. the displacement after 30 seconds has passed
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