DP Mathematics SL Questionbank

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Directly related questions

• 08N.1.sl.TZ0.9a: Find the acceleration of the particle at $t = 0$ .
• 08N.1.sl.TZ0.9b: Find the velocity, v, at time t, given that the initial velocity of the particle is...
• 08N.1.sl.TZ0.9c: Find $\int_0^3 {v{\rm{d}}t}$ , giving your answer in the form $p - q\cos 3$ .
• 08N.1.sl.TZ0.9d: What information does the answer to part (c) give about the motion of the particle?
• 12M.1.sl.TZ1.10c: Show that $s'(t) > 0$ between these two values of t .
• 12M.1.sl.TZ1.10d: Find the distance travelled between these two values of t .
• 10N.2.sl.TZ0.2a: On the grid below, sketch the graph of v , clearly indicating the maximum point.
• 10N.2.sl.TZ0.2b(i) and (ii): (i)     Write down an expression for d . (ii)    Hence, write down the value of d .
• SPNone.1.sl.TZ0.3c: Find the total distance travelled.
• 11N.2.sl.TZ0.7a: Find $v(t)$ , giving your answer in the form $a{(t - b)^2} + c$ .
• 11N.2.sl.TZ0.7b: A particle moves along a straight line so that its velocity in ms−1 , at time t seconds, is given...
• 11M.1.sl.TZ1.10b(i) and (ii): When $t = k$ , the acceleration is zero. (i)     Show that $k = \frac{\pi }{4}$ . (ii)   ...
• 11M.1.sl.TZ1.10c: When $t < \frac{\pi }{4}$ , $\frac{{{\rm{d}}v}}{{{\rm{d}}t}} > 0$ and when...
• 11M.1.sl.TZ1.10d(i) and (ii): Let d be the distance travelled by the particle for $0 \le t \le 1$ . (i)     Write down an...
• 11M.1.sl.TZ1.10a: Write down the velocity of the particle when $t = 0$ .
• 13M.2.sl.TZ1.5b.ii: Write down the positive $t$-intercept.
• 14M.2.sl.TZ2.9b: Find the value of $t$ for which the particle is at rest.
• 13N.2.sl.TZ0.5b: Find the distance travelled by the particle in the first three seconds.
• 14N.2.sl.TZ0.7a: Find the distance travelled by the particle for $0 \le t \le\ \frac{\pi }{2}$.