APFIVE Solving for Time from a Displacement Integral
The displacement, $$s(T)$$, of a particle over the time interval $$[0, T]$$ is given by $$s(T) = \int_0^T 3e^{-t} dt = 3(1 - e^{-T})$$. Find the time $$T$$ at which the displacement is $$2.1$$.
A
$$\ln(0.3)$$
B
$$\ln(2.1)$$
C
$$-\ln(0.3)$$
D
$$-\ln(0.7)$$
E
$$-\ln(2.1)$$
Question Leaderboard
| Rank | |||||
|---|---|---|---|---|---|
| #1 | bryantche0218 | 1 | 1 | 1m 24s | 16 |
| #2 | m6namrouti | 1 | 4 | 1m 23s | -13 |
| #3 | sophieyao08 | 1 | 1 | 2m 28s | -48 |
| #4 | johnhhajjar0 | 1 | 1 | 2m 30s | -50 |
| #5 | manyab1708 | 1 | 4 | 2m 32s | -82 |
| #6 | whizkri | 1 | 2 | 6m 06s | -276 |
| #7 | srinikasriyamathur | 1 | 2 | 24m 48s | -1,398 |
Items per page:
10
1 – 7 of 7