An object starts with an initial velocity and moves in a straight line
PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
An object starts with an initial velocity u and moves in a straight line. For the first time interval t1 it experiences a uniform acceleration a1. Immediately afterward, for a further interval t2, it moves with a different uniform acceleration a2 in the same line.
(a) Derive expressions for:
(i) the final velocity after the full time t1+t2, and
(ii) the total displacement during the two intervals, in terms of u, a1, a2, t1 and t2.
(b) Using your results, calculate the final velocity and total displacement when u=4 m s⁻¹, a1=1.5 m s⁻², t1=6 s, a2=−2 m s⁻² and t2=3 s.