A rock is thrown straight up from a cliff edge with an initial velocity of 13.0 m/s. Taking upward as positive and the release point as zero, what is its position 1.00 s later?
A8.10 m above the release point
B13.0 m above the release point
C4.90 m above the release point
D3.20 m above the release point
Answer & Solution
Correct answer: A. 8.10 m above the release point
1. Identify the knowns: the initial position is 0, the initial velocity is +13.0 m/s and the acceleration is -9.80 m/s^2.
2. Upward is positive, so the initial velocity and the acceleration carry opposite signs.
3. Use position equals initial position plus initial velocity times time plus half the acceleration times time squared.
4. Substitute the values: 0 + (13.0 m/s)(1.00 s) + 0.5 x (-9.80 m/s^2)(1.00 s)^2.
5. This gives 13.0 m - 4.90 m = 8.10 m.
6. Quoting 13.0 m forgets the gravity term entirely.
7. Quoting 4.90 m keeps only the gravity term and drops the throw.
_Source: OpenStax College Physics (CC BY 4.0), Ch 2 "Kinematics", section 2.7 Falling Objects_
Related questions
Measuring time at all depends on the fact that:An airplane passenger moving 4 metres toward the rear of the plane has a displacement recoA cyclist rides 3 km west then turns and rides 2 km east. The magnitude of the displacemenA scalar such as temperature can be negative, and there the minus sign indicates:An object with negative acceleration whose acceleration points the same way as its motion Deceleration is best defined as acceleration that is:An acceleration of 8.33 metres per second squared due west means the velocity changes by:The SI unit of acceleration is metres per second per second because acceleration is: