Una bala es lanzada de modo que su altura en metros en función del tiempo en segundos, viene dada por: \[ h(t)=200 t-5 t^{2} \] (a) ¿Cuánto se demora la bala en alcanzar la máxima altura? (b) ¿Cuál fue la máxima altura alcanzada por la bala? (c) ¿Cuánto demora en caer al suelo?

Sloths are known for being slow. An average tree sloth moves at a speed of \( 0.743 \mathrm{~m} / \mathrm{s} \). T the nearest second, how long does it take a sloth to travel 22.3 m at this speed?

85 Un pannello di MDF, una fibra di legno utilizzata per mobili componibili, ha spessore \( (14,0 \pm 0,2) \mathrm{mm} \) e forma rettangolare con lati \( (60,0 \pm 0,1) \mathrm{cm} \) e \( (80,0 \pm 0,1) \mathrm{cm} \); la sua massa è \( (5600 \pm 20) \mathrm{g} \). Le specifiche del prodotto in- dicano che il materiale ha densità \( 850 \mathrm{~kg} / \mathrm{m}^{3} \), con tolle- ranza dell' \( 1 \% \). Calcola la densità del pannello in base ai valori mi- surati.

22.Sebuah benda bermuatan \( \mathrm{q}=9 \times 10^{-5} \mathrm{C} \) dan mempunyai gaya elektrolisis \( 7,2 \mathrm{~N} \). maka kuat medan pada tempat benda tersebut berada adalah.. A. \( 1,2 \times 10^{-6} \mathrm{~N} / \mathrm{C} \) B. \( 4,2 \times 10^{-6} \mathrm{~N} / \mathrm{C} \) C. \( 5,0 \times 10^{-6} \mathrm{~N} / \mathrm{C} \) D. \( 8,0 \times 10^{-6} \mathrm{~N} / \mathrm{C} \)

f Steve throws the football 50 meters in 3 seconds, what is the average speed of the football? (nearest hundredth) If it takes Ashley 3 seconds to run from the batters box to first base at an average spe of 6.5 meters per second, what is the distance she covers in that time? \( \begin{array}{l}\text { Bart ran } 5000 \text { meters from the cops and an average speed of } 8 \text { meters/second before } \\ \text { he got caught. How long did he run? }\end{array} \)

What is the dot product of vector \( j \) with a magnitude of 4 and a direction of \( 30^{\circ} \) and vector k with a magnitude of 10 and a direction of \( 15^{\circ} \) ? (Round your answer to the nearest tenth.)