Projectile trajectory The position of a small rocket that islaunched vertically upward is given by s(t) = -5t2 + 40t + 100,for 0< t< 10, where t is measured in seconds and s is measuredin meters above the ground.a. Find the rate of change in the position (instantaneous velocity)of the rocket, for 0 < t < 10.b. At what time is the instantaneous velocity zero?c. At what time does the instantaneous velocity have the greatestmagnitude, for 0 <t < 10?d. Graph the position and instantaneous velocity, for 0 <t < 10.

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