A projectile is launched with velocity (10i + 20j) m/s. The time of flight is: (g = 10 m/s^2)

A car accelerates from 10 m/s to 30 m/s over a distance of 200 m. What is the acceleration?

A stone is dropped from a height of 180 m. How long does it take to reach the ground? (g = 10 m/s^2)

A projectile is launched at 60 degrees with speed 40 m/s. What is the maximum height? (g = 10 m/s^2) <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 350 200" style="max-width:350px;margin:0.5em auto;display:block;"> <title>Projectile at 60 degrees asking for max height</title> <rect width="350" height="200" fill="#faf9f5" rx="6"/> <defs><marker id="ah-q28" markerWidth="8" markerHeight="6" refX="8" refY="3" orient="auto"><polygon points="0 0, 8 3, 0 6" fill="#c6613f"/></marker></defs> <line x1="30" y1="175" x2="330" y2="175" stroke="#14140f" stroke-width="1.5"/> <path d="M50,175 Q140,0 300,175" fill="none" stroke="#c6613f" stroke-width="2"/> <circle cx="50" cy="175" r="4" fill="#c6613f"/> <line x1="50" y1="175" x2="78" y2="126" stroke="#c6613f" stroke-width="2" marker-end="url(#ah-q28)"/> <text x="80" y="140" font-size="11" font-family="sans-serif" fill="#c6613f">40 m/s</text> <path d="M68,175 A18,18 0 0,0 62,158" fill="none" stroke="#14140f" stroke-width="1"/> <text x="70" y="168" font-size="10" font-family="sans-serif" fill="#14140f">60&#176;</text> <line x1="175" y1="175" x2="175" y2="28" stroke="#14140f" stroke-width="1" stroke-dasharray="4,4"/> <text x="182" y="105" font-size="12" font-family="sans-serif" fill="#14140f">H = ?</text> </svg>

A particle moves with displacement s = 3t^2 + 2t + 5 (m). The initial velocity is: