A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q separated by a distance with velocities 30 km h⁻¹ and 40 km h⁻¹ respectively. The velocity of the car midway between P and Q is:
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Question

A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q separated by a distance with velocities 30 km h⁻¹ and 40 km h⁻¹ respectively. The velocity of the car midway between P and Q is:

Options

G1 Physics · Accepted Answer

Step 1: Let total distance PQ=x. From P to Q: 40²−30²=2ax, so ax=350 in squared-speed units. Step 2: At the midpoint, distance from P is x/2. Thus v²−30²=2a(x/2)=ax=350. Step 3: v²=1250, so v≈35.35 km h⁻¹, nearest to 35 km h⁻¹. Final answer: D.